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Finding the Fourth Proportional to 1,536.96, 2,302.68 and 987.78

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Solution

The fourth proportional to 1,536.96, 2,302.68 and 987.78 is: 1,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.96 : 2,302.68 = 987.78 : x
  2. Step 2: Convert to fraction form
    1,536.96/2,302.68 = 987.78/x
  3. Step 3: Cross multiply
    1,536.96x = 2,302.68 × 987.78
  4. Step 4: Simplify right side
    1,536.96x = 2,274,541.25
  5. Step 5: Solve for x
    x = 2,274,541.25/1,536.96
  6. Step 6: Final answer
    x = 1,479.90

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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.