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Finding the Fourth Proportional to 5,114.70, 7,672.05 and 4,312.80

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Solution

The fourth proportional to 5,114.70, 7,672.05 and 4,312.80 is: 6,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.70 : 7,672.05 = 4,312.80 : x
  2. Step 2: Convert to fraction form
    5,114.70/7,672.05 = 4,312.80/x
  3. Step 3: Cross multiply
    5,114.70x = 7,672.05 × 4,312.80
  4. Step 4: Simplify right side
    5,114.70x = 33,088,017.24
  5. Step 5: Solve for x
    x = 33,088,017.24/5,114.70
  6. Step 6: Final answer
    x = 6,469.20

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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.