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Finding the Fourth Proportional to 5,155.68, 7,734.06 and 1,693.56

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Solution

The fourth proportional to 5,155.68, 7,734.06 and 1,693.56 is: 2,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.68 : 7,734.06 = 1,693.56 : x
  2. Step 2: Convert to fraction form
    5,155.68/7,734.06 = 1,693.56/x
  3. Step 3: Cross multiply
    5,155.68x = 7,734.06 × 1,693.56
  4. Step 4: Simplify right side
    5,155.68x = 13,098,094.65
  5. Step 5: Solve for x
    x = 13,098,094.65/5,155.68
  6. Step 6: Final answer
    x = 2,540.52

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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.