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Finding the Fourth Proportional to 28,362, 42,543.36 and 9,894

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Solution

The fourth proportional to 28,362, 42,543.36 and 9,894 is: 14,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,362 : 42,543.36 = 9,894 : x
  2. Step 2: Convert to fraction form
    28,362/42,543.36 = 9,894/x
  3. Step 3: Cross multiply
    28,362x = 42,543.36 × 9,894
  4. Step 4: Simplify right side
    28,362x = 420,924,003.84
  5. Step 5: Solve for x
    x = 420,924,003.84/28,362
  6. Step 6: Final answer
    x = 14,841.13

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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.