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Finding the Fourth Proportional to 6,214.20, 8,711.40 and 6,214.20

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Solution

The fourth proportional to 6,214.20, 8,711.40 and 6,214.20 is: 8,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.20 : 8,711.40 = 6,214.20 : x
  2. Step 2: Convert to fraction form
    6,214.20/8,711.40 = 6,214.20/x
  3. Step 3: Cross multiply
    6,214.20x = 8,711.40 × 6,214.20
  4. Step 4: Simplify right side
    6,214.20x = 54,134,381.88
  5. Step 5: Solve for x
    x = 54,134,381.88/6,214.20
  6. Step 6: Final answer
    x = 8,711.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.