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Finding the Fourth Proportional to 2,673.70, 3,689.02 and 1,666.20

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Solution

The fourth proportional to 2,673.70, 3,689.02 and 1,666.20 is: 2,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.70 : 3,689.02 = 1,666.20 : x
  2. Step 2: Convert to fraction form
    2,673.70/3,689.02 = 1,666.20/x
  3. Step 3: Cross multiply
    2,673.70x = 3,689.02 × 1,666.20
  4. Step 4: Simplify right side
    2,673.70x = 6,146,645.12
  5. Step 5: Solve for x
    x = 6,146,645.12/2,673.70
  6. Step 6: Final answer
    x = 2,298.93

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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.