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Finding the Fourth Proportional to 28,635.86, 42,943.49 and 9,910.80

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Solution

The fourth proportional to 28,635.86, 42,943.49 and 9,910.80 is: 14,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,635.86 : 42,943.49 = 9,910.80 : x
  2. Step 2: Convert to fraction form
    28,635.86/42,943.49 = 9,910.80/x
  3. Step 3: Cross multiply
    28,635.86x = 42,943.49 × 9,910.80
  4. Step 4: Simplify right side
    28,635.86x = 425,604,291.14
  5. Step 5: Solve for x
    x = 425,604,291.14/28,635.86
  6. Step 6: Final answer
    x = 14,862.64

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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.