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Finding the Fourth Proportional to 28,597.36, 42,882 and 8,872.24

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Solution

The fourth proportional to 28,597.36, 42,882 and 8,872.24 is: 13,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,597.36 : 42,882 = 8,872.24 : x
  2. Step 2: Convert to fraction form
    28,597.36/42,882 = 8,872.24/x
  3. Step 3: Cross multiply
    28,597.36x = 42,882 × 8,872.24
  4. Step 4: Simplify right side
    28,597.36x = 380,459,395.68
  5. Step 5: Solve for x
    x = 380,459,395.68/28,597.36
  6. Step 6: Final answer
    x = 13,304.00

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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.