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Finding the Fourth Proportional to 2,872.80, 4,309.61 and 924.75

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Solution

The fourth proportional to 2,872.80, 4,309.61 and 924.75 is: 1,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.80 : 4,309.61 = 924.75 : x
  2. Step 2: Convert to fraction form
    2,872.80/4,309.61 = 924.75/x
  3. Step 3: Cross multiply
    2,872.80x = 4,309.61 × 924.75
  4. Step 4: Simplify right side
    2,872.80x = 3,985,307.22
  5. Step 5: Solve for x
    x = 3,985,307.22/2,872.80
  6. Step 6: Final answer
    x = 1,387.26

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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.