Home / 1,520.80-2,281.20-974.05

Finding the Fourth Proportional to 1,520.80, 2,281.20 and 974.05

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Solution

The fourth proportional to 1,520.80, 2,281.20 and 974.05 is: 1,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.80 : 2,281.20 = 974.05 : x
  2. Step 2: Convert to fraction form
    1,520.80/2,281.20 = 974.05/x
  3. Step 3: Cross multiply
    1,520.80x = 2,281.20 × 974.05
  4. Step 4: Simplify right side
    1,520.80x = 2,222,002.86
  5. Step 5: Solve for x
    x = 2,222,002.86/1,520.80
  6. Step 6: Final answer
    x = 1,461.08

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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.