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Finding the Fourth Proportional to 5,114.88, 7,672.30 and 1,605.16

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Solution

The fourth proportional to 5,114.88, 7,672.30 and 1,605.16 is: 2,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.88 : 7,672.30 = 1,605.16 : x
  2. Step 2: Convert to fraction form
    5,114.88/7,672.30 = 1,605.16/x
  3. Step 3: Cross multiply
    5,114.88x = 7,672.30 × 1,605.16
  4. Step 4: Simplify right side
    5,114.88x = 12,315,269.07
  5. Step 5: Solve for x
    x = 12,315,269.07/5,114.88
  6. Step 6: Final answer
    x = 2,407.73

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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.