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Finding the Fourth Proportional to 2,470.12, 3,702.36 and 987.96

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Solution

The fourth proportional to 2,470.12, 3,702.36 and 987.96 is: 1,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.12 : 3,702.36 = 987.96 : x
  2. Step 2: Convert to fraction form
    2,470.12/3,702.36 = 987.96/x
  3. Step 3: Cross multiply
    2,470.12x = 3,702.36 × 987.96
  4. Step 4: Simplify right side
    2,470.12x = 3,657,783.59
  5. Step 5: Solve for x
    x = 3,657,783.59/2,470.12
  6. Step 6: Final answer
    x = 1,480.81

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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.