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Finding the Fourth Proportional to 1,641.64, 2,265.42 and 943.24

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Solution

The fourth proportional to 1,641.64, 2,265.42 and 943.24 is: 1,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.64 : 2,265.42 = 943.24 : x
  2. Step 2: Convert to fraction form
    1,641.64/2,265.42 = 943.24/x
  3. Step 3: Cross multiply
    1,641.64x = 2,265.42 × 943.24
  4. Step 4: Simplify right side
    1,641.64x = 2,136,834.76
  5. Step 5: Solve for x
    x = 2,136,834.76/1,641.64
  6. Step 6: Final answer
    x = 1,301.65

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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.