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Finding the Fourth Proportional to 1,549.75, 2,138.64 and 841.57

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Solution

The fourth proportional to 1,549.75, 2,138.64 and 841.57 is: 1,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.75 : 2,138.64 = 841.57 : x
  2. Step 2: Convert to fraction form
    1,549.75/2,138.64 = 841.57/x
  3. Step 3: Cross multiply
    1,549.75x = 2,138.64 × 841.57
  4. Step 4: Simplify right side
    1,549.75x = 1,799,815.26
  5. Step 5: Solve for x
    x = 1,799,815.26/1,549.75
  6. Step 6: Final answer
    x = 1,161.36

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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.