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Finding the Fourth Proportional to 5,872.40, 8,807.04 and 1,976

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Solution

The fourth proportional to 5,872.40, 8,807.04 and 1,976 is: 2,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.40 : 8,807.04 = 1,976 : x
  2. Step 2: Convert to fraction form
    5,872.40/8,807.04 = 1,976/x
  3. Step 3: Cross multiply
    5,872.40x = 8,807.04 × 1,976
  4. Step 4: Simplify right side
    5,872.40x = 17,402,711.04
  5. Step 5: Solve for x
    x = 17,402,711.04/5,872.40
  6. Step 6: Final answer
    x = 2,963.48

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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.