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Finding the Fourth Proportional to 2,666.91, 3,681.02 and 1,591.35

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Solution

The fourth proportional to 2,666.91, 3,681.02 and 1,591.35 is: 2,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.91 : 3,681.02 = 1,591.35 : x
  2. Step 2: Convert to fraction form
    2,666.91/3,681.02 = 1,591.35/x
  3. Step 3: Cross multiply
    2,666.91x = 3,681.02 × 1,591.35
  4. Step 4: Simplify right side
    2,666.91x = 5,857,791.18
  5. Step 5: Solve for x
    x = 5,857,791.18/2,666.91
  6. Step 6: Final answer
    x = 2,196.47

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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.