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Finding the Fourth Proportional to 5,111.70, 7,662.12 and 2,915.70

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Solution

The fourth proportional to 5,111.70, 7,662.12 and 2,915.70 is: 4,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.70 : 7,662.12 = 2,915.70 : x
  2. Step 2: Convert to fraction form
    5,111.70/7,662.12 = 2,915.70/x
  3. Step 3: Cross multiply
    5,111.70x = 7,662.12 × 2,915.70
  4. Step 4: Simplify right side
    5,111.70x = 22,340,443.28
  5. Step 5: Solve for x
    x = 22,340,443.28/5,111.70
  6. Step 6: Final answer
    x = 4,370.45

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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.