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Finding the Fourth Proportional to 19,853.32, 29,780.62 and 9,987.20

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Solution

The fourth proportional to 19,853.32, 29,780.62 and 9,987.20 is: 14,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.32 : 29,780.62 = 9,987.20 : x
  2. Step 2: Convert to fraction form
    19,853.32/29,780.62 = 9,987.20/x
  3. Step 3: Cross multiply
    19,853.32x = 29,780.62 × 9,987.20
  4. Step 4: Simplify right side
    19,853.32x = 297,425,008.06
  5. Step 5: Solve for x
    x = 297,425,008.06/19,853.32
  6. Step 6: Final answer
    x = 14,981.12

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