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Finding the Fourth Proportional to 11,438, 15,773.64 and 7,462.16

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Solution

The fourth proportional to 11,438, 15,773.64 and 7,462.16 is: 10,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438 : 15,773.64 = 7,462.16 : x
  2. Step 2: Convert to fraction form
    11,438/15,773.64 = 7,462.16/x
  3. Step 3: Cross multiply
    11,438x = 15,773.64 × 7,462.16
  4. Step 4: Simplify right side
    11,438x = 117,705,425.46
  5. Step 5: Solve for x
    x = 117,705,425.46/11,438
  6. Step 6: Final answer
    x = 10,290.73

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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.