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Finding the Fourth Proportional to 1,434.13, 1,977.10 and 961.20

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Solution

The fourth proportional to 1,434.13, 1,977.10 and 961.20 is: 1,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.13 : 1,977.10 = 961.20 : x
  2. Step 2: Convert to fraction form
    1,434.13/1,977.10 = 961.20/x
  3. Step 3: Cross multiply
    1,434.13x = 1,977.10 × 961.20
  4. Step 4: Simplify right side
    1,434.13x = 1,900,386.12
  5. Step 5: Solve for x
    x = 1,900,386.12/1,434.13
  6. Step 6: Final answer
    x = 1,325.12

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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.