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Finding the Fourth Proportional to 2,652.70, 3,980.07 and 987.85

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Solution

The fourth proportional to 2,652.70, 3,980.07 and 987.85 is: 1,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.70 : 3,980.07 = 987.85 : x
  2. Step 2: Convert to fraction form
    2,652.70/3,980.07 = 987.85/x
  3. Step 3: Cross multiply
    2,652.70x = 3,980.07 × 987.85
  4. Step 4: Simplify right side
    2,652.70x = 3,931,712.15
  5. Step 5: Solve for x
    x = 3,931,712.15/2,652.70
  6. Step 6: Final answer
    x = 1,482.15

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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.