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Finding the Fourth Proportional to 10,114.47, 13,959 and 9,320.40

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Solution

The fourth proportional to 10,114.47, 13,959 and 9,320.40 is: 12,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.47 : 13,959 = 9,320.40 : x
  2. Step 2: Convert to fraction form
    10,114.47/13,959 = 9,320.40/x
  3. Step 3: Cross multiply
    10,114.47x = 13,959 × 9,320.40
  4. Step 4: Simplify right side
    10,114.47x = 130,103,463.60
  5. Step 5: Solve for x
    x = 130,103,463.60/10,114.47
  6. Step 6: Final answer
    x = 12,863.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.