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Finding the Fourth Proportional to 11,438.46, 15,785.78 and 6,658.50

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Solution

The fourth proportional to 11,438.46, 15,785.78 and 6,658.50 is: 9,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.46 : 15,785.78 = 6,658.50 : x
  2. Step 2: Convert to fraction form
    11,438.46/15,785.78 = 6,658.50/x
  3. Step 3: Cross multiply
    11,438.46x = 15,785.78 × 6,658.50
  4. Step 4: Simplify right side
    11,438.46x = 105,109,616.13
  5. Step 5: Solve for x
    x = 105,109,616.13/11,438.46
  6. Step 6: Final answer
    x = 9,189.14

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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.