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Finding the Fourth Proportional to 9,142.80, 12,637.80 and 8,417.04

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Solution

The fourth proportional to 9,142.80, 12,637.80 and 8,417.04 is: 11,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.80 : 12,637.80 = 8,417.04 : x
  2. Step 2: Convert to fraction form
    9,142.80/12,637.80 = 8,417.04/x
  3. Step 3: Cross multiply
    9,142.80x = 12,637.80 × 8,417.04
  4. Step 4: Simplify right side
    9,142.80x = 106,372,868.11
  5. Step 5: Solve for x
    x = 106,372,868.11/9,142.80
  6. Step 6: Final answer
    x = 11,634.61

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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.