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Finding the Fourth Proportional to 28,164.12, 42,255.54 and 9,446

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Solution

The fourth proportional to 28,164.12, 42,255.54 and 9,446 is: 14,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164.12 : 42,255.54 = 9,446 : x
  2. Step 2: Convert to fraction form
    28,164.12/42,255.54 = 9,446/x
  3. Step 3: Cross multiply
    28,164.12x = 42,255.54 × 9,446
  4. Step 4: Simplify right side
    28,164.12x = 399,145,830.84
  5. Step 5: Solve for x
    x = 399,145,830.84/28,164.12
  6. Step 6: Final answer
    x = 14,172.14

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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.