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Finding the Fourth Proportional to 28,101.64, 42,159.48 and 8,378.68

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Solution

The fourth proportional to 28,101.64, 42,159.48 and 8,378.68 is: 12,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,101.64 : 42,159.48 = 8,378.68 : x
  2. Step 2: Convert to fraction form
    28,101.64/42,159.48 = 8,378.68/x
  3. Step 3: Cross multiply
    28,101.64x = 42,159.48 × 8,378.68
  4. Step 4: Simplify right side
    28,101.64x = 353,240,791.89
  5. Step 5: Solve for x
    x = 353,240,791.89/28,101.64
  6. Step 6: Final answer
    x = 12,570.11

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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.