Home / 2,309.60-3,463.14-1,580

Finding the Fourth Proportional to 2,309.60, 3,463.14 and 1,580

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Solution

The fourth proportional to 2,309.60, 3,463.14 and 1,580 is: 2,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.60 : 3,463.14 = 1,580 : x
  2. Step 2: Convert to fraction form
    2,309.60/3,463.14 = 1,580/x
  3. Step 3: Cross multiply
    2,309.60x = 3,463.14 × 1,580
  4. Step 4: Simplify right side
    2,309.60x = 5,471,761.20
  5. Step 5: Solve for x
    x = 5,471,761.20/2,309.60
  6. Step 6: Final answer
    x = 2,369.14

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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.