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Finding the Fourth Proportional to 9,174.66, 12,655.31 and 7,637.66

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Solution

The fourth proportional to 9,174.66, 12,655.31 and 7,637.66 is: 10,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.66 : 12,655.31 = 7,637.66 : x
  2. Step 2: Convert to fraction form
    9,174.66/12,655.31 = 7,637.66/x
  3. Step 3: Cross multiply
    9,174.66x = 12,655.31 × 7,637.66
  4. Step 4: Simplify right side
    9,174.66x = 96,656,954.97
  5. Step 5: Solve for x
    x = 96,656,954.97/9,174.66
  6. Step 6: Final answer
    x = 10,535.21

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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.