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Finding the Fourth Proportional to 28,607.25, 42,923.84 and 13,813.41

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Solution

The fourth proportional to 28,607.25, 42,923.84 and 13,813.41 is: 20,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,607.25 : 42,923.84 = 13,813.41 : x
  2. Step 2: Convert to fraction form
    28,607.25/42,923.84 = 13,813.41/x
  3. Step 3: Cross multiply
    28,607.25x = 42,923.84 × 13,813.41
  4. Step 4: Simplify right side
    28,607.25x = 592,924,600.69
  5. Step 5: Solve for x
    x = 592,924,600.69/28,607.25
  6. Step 6: Final answer
    x = 20,726.38

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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.