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Finding the Fourth Proportional to 28,614, 42,870.96 and 19,854.48

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Solution

The fourth proportional to 28,614, 42,870.96 and 19,854.48 is: 29,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,614 : 42,870.96 = 19,854.48 : x
  2. Step 2: Convert to fraction form
    28,614/42,870.96 = 19,854.48/x
  3. Step 3: Cross multiply
    28,614x = 42,870.96 × 19,854.48
  4. Step 4: Simplify right side
    28,614x = 851,180,617.90
  5. Step 5: Solve for x
    x = 851,180,617.90/28,614
  6. Step 6: Final answer
    x = 29,747.00

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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.