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Finding the Fourth Proportional to 1,420.82, 1,961.38 and 1,332.26

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Solution

The fourth proportional to 1,420.82, 1,961.38 and 1,332.26 is: 1,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.82 : 1,961.38 = 1,332.26 : x
  2. Step 2: Convert to fraction form
    1,420.82/1,961.38 = 1,332.26/x
  3. Step 3: Cross multiply
    1,420.82x = 1,961.38 × 1,332.26
  4. Step 4: Simplify right side
    1,420.82x = 2,613,068.12
  5. Step 5: Solve for x
    x = 2,613,068.12/1,420.82
  6. Step 6: Final answer
    x = 1,839.13

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1.5x scale

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.