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Finding the Fourth Proportional to 9,165.92, 12,642.43 and 8,412.13

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Solution

The fourth proportional to 9,165.92, 12,642.43 and 8,412.13 is: 11,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.92 : 12,642.43 = 8,412.13 : x
  2. Step 2: Convert to fraction form
    9,165.92/12,642.43 = 8,412.13/x
  3. Step 3: Cross multiply
    9,165.92x = 12,642.43 × 8,412.13
  4. Step 4: Simplify right side
    9,165.92x = 106,349,719.88
  5. Step 5: Solve for x
    x = 106,349,719.88/9,165.92
  6. Step 6: Final answer
    x = 11,602.74

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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.