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Finding the Fourth Proportional to 28,354, 42,531.36 and 9,886

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Solution

The fourth proportional to 28,354, 42,531.36 and 9,886 is: 14,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,354 : 42,531.36 = 9,886 : x
  2. Step 2: Convert to fraction form
    28,354/42,531.36 = 9,886/x
  3. Step 3: Cross multiply
    28,354x = 42,531.36 × 9,886
  4. Step 4: Simplify right side
    28,354x = 420,465,024.96
  5. Step 5: Solve for x
    x = 420,465,024.96/28,354
  6. Step 6: Final answer
    x = 14,829.13

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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.