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Finding the Fourth Proportional to 28,642.66, 42,962.28 and 17,029.78

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Solution

The fourth proportional to 28,642.66, 42,962.28 and 17,029.78 is: 25,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,642.66 : 42,962.28 = 17,029.78 : x
  2. Step 2: Convert to fraction form
    28,642.66/42,962.28 = 17,029.78/x
  3. Step 3: Cross multiply
    28,642.66x = 42,962.28 × 17,029.78
  4. Step 4: Simplify right side
    28,642.66x = 731,638,176.70
  5. Step 5: Solve for x
    x = 731,638,176.70/28,642.66
  6. Step 6: Final answer
    x = 25,543.65

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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.