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Finding the Fourth Proportional to 4,294.90, 6,438 and 2,714.80

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Solution

The fourth proportional to 4,294.90, 6,438 and 2,714.80 is: 4,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.90 : 6,438 = 2,714.80 : x
  2. Step 2: Convert to fraction form
    4,294.90/6,438 = 2,714.80/x
  3. Step 3: Cross multiply
    4,294.90x = 6,438 × 2,714.80
  4. Step 4: Simplify right side
    4,294.90x = 17,477,882.40
  5. Step 5: Solve for x
    x = 17,477,882.40/4,294.90
  6. Step 6: Final answer
    x = 4,069.45

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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.