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Finding the Fourth Proportional to 6,142.70, 9,214.05 and 5,710.70

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Solution

The fourth proportional to 6,142.70, 9,214.05 and 5,710.70 is: 8,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.70 : 9,214.05 = 5,710.70 : x
  2. Step 2: Convert to fraction form
    6,142.70/9,214.05 = 5,710.70/x
  3. Step 3: Cross multiply
    6,142.70x = 9,214.05 × 5,710.70
  4. Step 4: Simplify right side
    6,142.70x = 52,618,675.34
  5. Step 5: Solve for x
    x = 52,618,675.34/6,142.70
  6. Step 6: Final answer
    x = 8,566.05

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.