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Finding the Fourth Proportional to 5,714, 8,567.76 and 2,378.40

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Solution

The fourth proportional to 5,714, 8,567.76 and 2,378.40 is: 3,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714 : 8,567.76 = 2,378.40 : x
  2. Step 2: Convert to fraction form
    5,714/8,567.76 = 2,378.40/x
  3. Step 3: Cross multiply
    5,714x = 8,567.76 × 2,378.40
  4. Step 4: Simplify right side
    5,714x = 20,377,560.38
  5. Step 5: Solve for x
    x = 20,377,560.38/5,714
  6. Step 6: Final answer
    x = 3,566.25

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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.