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Finding the Fourth Proportional to 11,385, 15,700.50 and 7,409.16

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Solution

The fourth proportional to 11,385, 15,700.50 and 7,409.16 is: 10,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385 : 15,700.50 = 7,409.16 : x
  2. Step 2: Convert to fraction form
    11,385/15,700.50 = 7,409.16/x
  3. Step 3: Cross multiply
    11,385x = 15,700.50 × 7,409.16
  4. Step 4: Simplify right side
    11,385x = 116,327,516.58
  5. Step 5: Solve for x
    x = 116,327,516.58/11,385
  6. Step 6: Final answer
    x = 10,217.61

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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.