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Finding the Fourth Proportional to 11,423.60, 15,807.66 and 9,742.32

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Solution

The fourth proportional to 11,423.60, 15,807.66 and 9,742.32 is: 13,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.60 : 15,807.66 = 9,742.32 : x
  2. Step 2: Convert to fraction form
    11,423.60/15,807.66 = 9,742.32/x
  3. Step 3: Cross multiply
    11,423.60x = 15,807.66 × 9,742.32
  4. Step 4: Simplify right side
    11,423.60x = 154,003,282.17
  5. Step 5: Solve for x
    x = 154,003,282.17/11,423.60
  6. Step 6: Final answer
    x = 13,481.15

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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.