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Finding the Fourth Proportional to 2,312, 3,463.32 and 1,077.68

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Solution

The fourth proportional to 2,312, 3,463.32 and 1,077.68 is: 1,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312 : 3,463.32 = 1,077.68 : x
  2. Step 2: Convert to fraction form
    2,312/3,463.32 = 1,077.68/x
  3. Step 3: Cross multiply
    2,312x = 3,463.32 × 1,077.68
  4. Step 4: Simplify right side
    2,312x = 3,732,350.70
  5. Step 5: Solve for x
    x = 3,732,350.70/2,312
  6. Step 6: Final answer
    x = 1,614.34

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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.