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Finding the Fourth Proportional to 14,807.66, 20,429.11 and 9,505.55

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Solution

The fourth proportional to 14,807.66, 20,429.11 and 9,505.55 is: 13,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.66 : 20,429.11 = 9,505.55 : x
  2. Step 2: Convert to fraction form
    14,807.66/20,429.11 = 9,505.55/x
  3. Step 3: Cross multiply
    14,807.66x = 20,429.11 × 9,505.55
  4. Step 4: Simplify right side
    14,807.66x = 194,189,989.52
  5. Step 5: Solve for x
    x = 194,189,989.52/14,807.66
  6. Step 6: Final answer
    x = 13,114.16

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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.