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Finding the Fourth Proportional to 19,853.68, 29,780.52 and 8,902

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Solution

The fourth proportional to 19,853.68, 29,780.52 and 8,902 is: 13,353

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.68 : 29,780.52 = 8,902 : x
  2. Step 2: Convert to fraction form
    19,853.68/29,780.52 = 8,902/x
  3. Step 3: Cross multiply
    19,853.68x = 29,780.52 × 8,902
  4. Step 4: Simplify right side
    19,853.68x = 265,106,189.04
  5. Step 5: Solve for x
    x = 265,106,189.04/19,853.68
  6. Step 6: Final answer
    x = 13,353

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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.