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Finding the Fourth Proportional to 28,549.88, 42,822.66 and 8,828.56

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Solution

The fourth proportional to 28,549.88, 42,822.66 and 8,828.56 is: 13,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,549.88 : 42,822.66 = 8,828.56 : x
  2. Step 2: Convert to fraction form
    28,549.88/42,822.66 = 8,828.56/x
  3. Step 3: Cross multiply
    28,549.88x = 42,822.66 × 8,828.56
  4. Step 4: Simplify right side
    28,549.88x = 378,062,423.17
  5. Step 5: Solve for x
    x = 378,062,423.17/28,549.88
  6. Step 6: Final answer
    x = 13,242.17

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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.