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Finding the Fourth Proportional to 9,141.80, 12,636.42 and 8,416.04

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Solution

The fourth proportional to 9,141.80, 12,636.42 and 8,416.04 is: 11,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.80 : 12,636.42 = 8,416.04 : x
  2. Step 2: Convert to fraction form
    9,141.80/12,636.42 = 8,416.04/x
  3. Step 3: Cross multiply
    9,141.80x = 12,636.42 × 8,416.04
  4. Step 4: Simplify right side
    9,141.80x = 106,348,616.18
  5. Step 5: Solve for x
    x = 106,348,616.18/9,141.80
  6. Step 6: Final answer
    x = 11,633.22

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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.