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Finding the Fourth Proportional to 19,671.20, 29,515.53 and 10,309.00

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Solution

The fourth proportional to 19,671.20, 29,515.53 and 10,309.00 is: 15,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.20 : 29,515.53 = 10,309.00 : x
  2. Step 2: Convert to fraction form
    19,671.20/29,515.53 = 10,309.00/x
  3. Step 3: Cross multiply
    19,671.20x = 29,515.53 × 10,309.00
  4. Step 4: Simplify right side
    19,671.20x = 304,275,412.53
  5. Step 5: Solve for x
    x = 304,275,412.53/19,671.20
  6. Step 6: Final answer
    x = 15,468.06

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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.