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Finding the Fourth Proportional to 5,085.46, 7,629 and 2,746.18

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Solution

The fourth proportional to 5,085.46, 7,629 and 2,746.18 is: 4,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.46 : 7,629 = 2,746.18 : x
  2. Step 2: Convert to fraction form
    5,085.46/7,629 = 2,746.18/x
  3. Step 3: Cross multiply
    5,085.46x = 7,629 × 2,746.18
  4. Step 4: Simplify right side
    5,085.46x = 20,950,607.22
  5. Step 5: Solve for x
    x = 20,950,607.22/5,085.46
  6. Step 6: Final answer
    x = 4,119.71

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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.