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Finding the Fourth Proportional to 28,026.67, 42,045 and 9,307.84

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Solution

The fourth proportional to 28,026.67, 42,045 and 9,307.84 is: 13,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026.67 : 42,045 = 9,307.84 : x
  2. Step 2: Convert to fraction form
    28,026.67/42,045 = 9,307.84/x
  3. Step 3: Cross multiply
    28,026.67x = 42,045 × 9,307.84
  4. Step 4: Simplify right side
    28,026.67x = 391,348,132.80
  5. Step 5: Solve for x
    x = 391,348,132.80/28,026.67
  6. Step 6: Final answer
    x = 13,963.42

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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.