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Finding the Fourth Proportional to 1,312.13, 1,963.91 and 965.39

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Solution

The fourth proportional to 1,312.13, 1,963.91 and 965.39 is: 1,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.13 : 1,963.91 = 965.39 : x
  2. Step 2: Convert to fraction form
    1,312.13/1,963.91 = 965.39/x
  3. Step 3: Cross multiply
    1,312.13x = 1,963.91 × 965.39
  4. Step 4: Simplify right side
    1,312.13x = 1,895,931.67
  5. Step 5: Solve for x
    x = 1,895,931.67/1,312.13
  6. Step 6: Final answer
    x = 1,444.92

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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.