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Finding the Fourth Proportional to 19,682.88, 29,541.04 and 9,819.20

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Solution

The fourth proportional to 19,682.88, 29,541.04 and 9,819.20 is: 14,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.88 : 29,541.04 = 9,819.20 : x
  2. Step 2: Convert to fraction form
    19,682.88/29,541.04 = 9,819.20/x
  3. Step 3: Cross multiply
    19,682.88x = 29,541.04 × 9,819.20
  4. Step 4: Simplify right side
    19,682.88x = 290,069,379.97
  5. Step 5: Solve for x
    x = 290,069,379.97/19,682.88
  6. Step 6: Final answer
    x = 14,737.14

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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.