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Finding the Fourth Proportional to 1,773.48, 2,447.42 and 987.53

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Solution

The fourth proportional to 1,773.48, 2,447.42 and 987.53 is: 1,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.48 : 2,447.42 = 987.53 : x
  2. Step 2: Convert to fraction form
    1,773.48/2,447.42 = 987.53/x
  3. Step 3: Cross multiply
    1,773.48x = 2,447.42 × 987.53
  4. Step 4: Simplify right side
    1,773.48x = 2,416,895.73
  5. Step 5: Solve for x
    x = 2,416,895.73/1,773.48
  6. Step 6: Final answer
    x = 1,362.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.