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Finding the Fourth Proportional to 5,000.78, 7,502.18 and 1,714.20

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Solution

The fourth proportional to 5,000.78, 7,502.18 and 1,714.20 is: 2,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.78 : 7,502.18 = 1,714.20 : x
  2. Step 2: Convert to fraction form
    5,000.78/7,502.18 = 1,714.20/x
  3. Step 3: Cross multiply
    5,000.78x = 7,502.18 × 1,714.20
  4. Step 4: Simplify right side
    5,000.78x = 12,860,228.39
  5. Step 5: Solve for x
    x = 12,860,228.39/5,000.78
  6. Step 6: Final answer
    x = 2,571.65

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1.5x scale

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.