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Finding the Fourth Proportional to 2,447.76, 3,672.10 and 987.06

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Solution

The fourth proportional to 2,447.76, 3,672.10 and 987.06 is: 1,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.76 : 3,672.10 = 987.06 : x
  2. Step 2: Convert to fraction form
    2,447.76/3,672.10 = 987.06/x
  3. Step 3: Cross multiply
    2,447.76x = 3,672.10 × 987.06
  4. Step 4: Simplify right side
    2,447.76x = 3,624,567.13
  5. Step 5: Solve for x
    x = 3,624,567.13/2,447.76
  6. Step 6: Final answer
    x = 1,480.77

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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.