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Finding the Fourth Proportional to 19,739, 29,602.08 and 6,587.84

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Solution

The fourth proportional to 19,739, 29,602.08 and 6,587.84 is: 9,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739 : 29,602.08 = 6,587.84 : x
  2. Step 2: Convert to fraction form
    19,739/29,602.08 = 6,587.84/x
  3. Step 3: Cross multiply
    19,739x = 29,602.08 × 6,587.84
  4. Step 4: Simplify right side
    19,739x = 195,013,766.71
  5. Step 5: Solve for x
    x = 195,013,766.71/19,739
  6. Step 6: Final answer
    x = 9,879.62

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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.