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Finding the Fourth Proportional to 2,656.91, 3,666.12 and 1,537.76

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Solution

The fourth proportional to 2,656.91, 3,666.12 and 1,537.76 is: 2,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.91 : 3,666.12 = 1,537.76 : x
  2. Step 2: Convert to fraction form
    2,656.91/3,666.12 = 1,537.76/x
  3. Step 3: Cross multiply
    2,656.91x = 3,666.12 × 1,537.76
  4. Step 4: Simplify right side
    2,656.91x = 5,637,612.69
  5. Step 5: Solve for x
    x = 5,637,612.69/2,656.91
  6. Step 6: Final answer
    x = 2,121.87

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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.