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Finding the Fourth Proportional to 10,482.80, 15,711.24 and 5,285.84

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Solution

The fourth proportional to 10,482.80, 15,711.24 and 5,285.84 is: 7,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.80 : 15,711.24 = 5,285.84 : x
  2. Step 2: Convert to fraction form
    10,482.80/15,711.24 = 5,285.84/x
  3. Step 3: Cross multiply
    10,482.80x = 15,711.24 × 5,285.84
  4. Step 4: Simplify right side
    10,482.80x = 83,047,100.84
  5. Step 5: Solve for x
    x = 83,047,100.84/10,482.80
  6. Step 6: Final answer
    x = 7,922.23

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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.