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Finding the Fourth Proportional to 28,359, 42,538.86 and 9,891

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Solution

The fourth proportional to 28,359, 42,538.86 and 9,891 is: 14,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,359 : 42,538.86 = 9,891 : x
  2. Step 2: Convert to fraction form
    28,359/42,538.86 = 9,891/x
  3. Step 3: Cross multiply
    28,359x = 42,538.86 × 9,891
  4. Step 4: Simplify right side
    28,359x = 420,751,864.26
  5. Step 5: Solve for x
    x = 420,751,864.26/28,359
  6. Step 6: Final answer
    x = 14,836.63

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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.