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Finding the Fourth Proportional to 2,489.12, 3,733.68 and 847.52

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Solution

The fourth proportional to 2,489.12, 3,733.68 and 847.52 is: 1,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.12 : 3,733.68 = 847.52 : x
  2. Step 2: Convert to fraction form
    2,489.12/3,733.68 = 847.52/x
  3. Step 3: Cross multiply
    2,489.12x = 3,733.68 × 847.52
  4. Step 4: Simplify right side
    2,489.12x = 3,164,368.47
  5. Step 5: Solve for x
    x = 3,164,368.47/2,489.12
  6. Step 6: Final answer
    x = 1,271.28

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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.