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Finding the Fourth Proportional to 5,139.32, 7,708.98 and 3,083

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Solution

The fourth proportional to 5,139.32, 7,708.98 and 3,083 is: 4,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.32 : 7,708.98 = 3,083 : x
  2. Step 2: Convert to fraction form
    5,139.32/7,708.98 = 3,083/x
  3. Step 3: Cross multiply
    5,139.32x = 7,708.98 × 3,083
  4. Step 4: Simplify right side
    5,139.32x = 23,766,785.34
  5. Step 5: Solve for x
    x = 23,766,785.34/5,139.32
  6. Step 6: Final answer
    x = 4,624.50

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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.