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Finding the Fourth Proportional to 19,980.57, 29,966.72 and 9,446.12

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Solution

The fourth proportional to 19,980.57, 29,966.72 and 9,446.12 is: 14,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.57 : 29,966.72 = 9,446.12 : x
  2. Step 2: Convert to fraction form
    19,980.57/29,966.72 = 9,446.12/x
  3. Step 3: Cross multiply
    19,980.57x = 29,966.72 × 9,446.12
  4. Step 4: Simplify right side
    19,980.57x = 283,069,036.06
  5. Step 5: Solve for x
    x = 283,069,036.06/19,980.57
  6. Step 6: Final answer
    x = 14,167.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.