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Finding the Fourth Proportional to 28,355, 42,532.86 and 9,887

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Solution

The fourth proportional to 28,355, 42,532.86 and 9,887 is: 14,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,355 : 42,532.86 = 9,887 : x
  2. Step 2: Convert to fraction form
    28,355/42,532.86 = 9,887/x
  3. Step 3: Cross multiply
    28,355x = 42,532.86 × 9,887
  4. Step 4: Simplify right side
    28,355x = 420,522,386.82
  5. Step 5: Solve for x
    x = 420,522,386.82/28,355
  6. Step 6: Final answer
    x = 14,830.63

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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.