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Finding the Fourth Proportional to 4,454, 6,681.12 and 1,376

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Solution

The fourth proportional to 4,454, 6,681.12 and 1,376 is: 2,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454 : 6,681.12 = 1,376 : x
  2. Step 2: Convert to fraction form
    4,454/6,681.12 = 1,376/x
  3. Step 3: Cross multiply
    4,454x = 6,681.12 × 1,376
  4. Step 4: Simplify right side
    4,454x = 9,193,221.12
  5. Step 5: Solve for x
    x = 9,193,221.12/4,454
  6. Step 6: Final answer
    x = 2,064.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.