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Finding the Fourth Proportional to 28,859.84, 43,292 and 9,139.52

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Solution

The fourth proportional to 28,859.84, 43,292 and 9,139.52 is: 13,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,859.84 : 43,292 = 9,139.52 : x
  2. Step 2: Convert to fraction form
    28,859.84/43,292 = 9,139.52/x
  3. Step 3: Cross multiply
    28,859.84x = 43,292 × 9,139.52
  4. Step 4: Simplify right side
    28,859.84x = 395,668,099.84
  5. Step 5: Solve for x
    x = 395,668,099.84/28,859.84
  6. Step 6: Final answer
    x = 13,709.99

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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.