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Finding the Fourth Proportional to 1,711.52, 2,361.84 and 965.47

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Solution

The fourth proportional to 1,711.52, 2,361.84 and 965.47 is: 1,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.52 : 2,361.84 = 965.47 : x
  2. Step 2: Convert to fraction form
    1,711.52/2,361.84 = 965.47/x
  3. Step 3: Cross multiply
    1,711.52x = 2,361.84 × 965.47
  4. Step 4: Simplify right side
    1,711.52x = 2,280,285.66
  5. Step 5: Solve for x
    x = 2,280,285.66/1,711.52
  6. Step 6: Final answer
    x = 1,332.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.