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Finding the Fourth Proportional to 1,666.93, 2,510.02 and 1,377.22

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Solution

The fourth proportional to 1,666.93, 2,510.02 and 1,377.22 is: 2,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.93 : 2,510.02 = 1,377.22 : x
  2. Step 2: Convert to fraction form
    1,666.93/2,510.02 = 1,377.22/x
  3. Step 3: Cross multiply
    1,666.93x = 2,510.02 × 1,377.22
  4. Step 4: Simplify right side
    1,666.93x = 3,456,849.74
  5. Step 5: Solve for x
    x = 3,456,849.74/1,666.93
  6. Step 6: Final answer
    x = 2,073.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.