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Finding the Fourth Proportional to 1,245.60, 1,866.15 and 987.30

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Solution

The fourth proportional to 1,245.60, 1,866.15 and 987.30 is: 1,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.60 : 1,866.15 = 987.30 : x
  2. Step 2: Convert to fraction form
    1,245.60/1,866.15 = 987.30/x
  3. Step 3: Cross multiply
    1,245.60x = 1,866.15 × 987.30
  4. Step 4: Simplify right side
    1,245.60x = 1,842,449.90
  5. Step 5: Solve for x
    x = 1,842,449.90/1,245.60
  6. Step 6: Final answer
    x = 1,479.17

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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.