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Finding the Fourth Proportional to 19,728.90, 29,598.08 and 6,581.39

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Solution

The fourth proportional to 19,728.90, 29,598.08 and 6,581.39 is: 9,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.90 : 29,598.08 = 6,581.39 : x
  2. Step 2: Convert to fraction form
    19,728.90/29,598.08 = 6,581.39/x
  3. Step 3: Cross multiply
    19,728.90x = 29,598.08 × 6,581.39
  4. Step 4: Simplify right side
    19,728.90x = 194,796,326.83
  5. Step 5: Solve for x
    x = 194,796,326.83/19,728.90
  6. Step 6: Final answer
    x = 9,873.65

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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.