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Finding the Fourth Proportional to 2,454, 3,381.20 and 1,666.64

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Solution

The fourth proportional to 2,454, 3,381.20 and 1,666.64 is: 2,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454 : 3,381.20 = 1,666.64 : x
  2. Step 2: Convert to fraction form
    2,454/3,381.20 = 1,666.64/x
  3. Step 3: Cross multiply
    2,454x = 3,381.20 × 1,666.64
  4. Step 4: Simplify right side
    2,454x = 5,635,243.17
  5. Step 5: Solve for x
    x = 5,635,243.17/2,454
  6. Step 6: Final answer
    x = 2,296.35

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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.