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Finding the Fourth Proportional to 12,105.52, 16,705.68 and 7,073.28

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Solution

The fourth proportional to 12,105.52, 16,705.68 and 7,073.28 is: 9,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.52 : 16,705.68 = 7,073.28 : x
  2. Step 2: Convert to fraction form
    12,105.52/16,705.68 = 7,073.28/x
  3. Step 3: Cross multiply
    12,105.52x = 16,705.68 × 7,073.28
  4. Step 4: Simplify right side
    12,105.52x = 118,163,952.23
  5. Step 5: Solve for x
    x = 118,163,952.23/12,105.52
  6. Step 6: Final answer
    x = 9,761.16

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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.