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Finding the Fourth Proportional to 2,925.20, 4,387.80 and 873.20

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Solution

The fourth proportional to 2,925.20, 4,387.80 and 873.20 is: 1,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.20 : 4,387.80 = 873.20 : x
  2. Step 2: Convert to fraction form
    2,925.20/4,387.80 = 873.20/x
  3. Step 3: Cross multiply
    2,925.20x = 4,387.80 × 873.20
  4. Step 4: Simplify right side
    2,925.20x = 3,831,405.02
  5. Step 5: Solve for x
    x = 3,831,405.02/2,925.20
  6. Step 6: Final answer
    x = 1,309.79

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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.