Home / 3,142.38-4,707.40-1,580.50

Finding the Fourth Proportional to 3,142.38, 4,707.40 and 1,580.50

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Solution

The fourth proportional to 3,142.38, 4,707.40 and 1,580.50 is: 2,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.38 : 4,707.40 = 1,580.50 : x
  2. Step 2: Convert to fraction form
    3,142.38/4,707.40 = 1,580.50/x
  3. Step 3: Cross multiply
    3,142.38x = 4,707.40 × 1,580.50
  4. Step 4: Simplify right side
    3,142.38x = 7,440,045.70
  5. Step 5: Solve for x
    x = 7,440,045.70/3,142.38
  6. Step 6: Final answer
    x = 2,367.65

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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.