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Finding the Fourth Proportional to 28,960, 43,440 and 8,184.04

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Solution

The fourth proportional to 28,960, 43,440 and 8,184.04 is: 12,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,960 : 43,440 = 8,184.04 : x
  2. Step 2: Convert to fraction form
    28,960/43,440 = 8,184.04/x
  3. Step 3: Cross multiply
    28,960x = 43,440 × 8,184.04
  4. Step 4: Simplify right side
    28,960x = 355,514,697.60
  5. Step 5: Solve for x
    x = 355,514,697.60/28,960
  6. Step 6: Final answer
    x = 12,276.06

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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.