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Finding the Fourth Proportional to 5,142.57, 7,713.78 and 1,247.01

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Solution

The fourth proportional to 5,142.57, 7,713.78 and 1,247.01 is: 1,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.57 : 7,713.78 = 1,247.01 : x
  2. Step 2: Convert to fraction form
    5,142.57/7,713.78 = 1,247.01/x
  3. Step 3: Cross multiply
    5,142.57x = 7,713.78 × 1,247.01
  4. Step 4: Simplify right side
    5,142.57x = 9,619,160.80
  5. Step 5: Solve for x
    x = 9,619,160.80/5,142.57
  6. Step 6: Final answer
    x = 1,870.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.