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Finding the Fourth Proportional to 5,603.70, 7,732.80 and 3,085.72

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Solution

The fourth proportional to 5,603.70, 7,732.80 and 3,085.72 is: 4,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.70 : 7,732.80 = 3,085.72 : x
  2. Step 2: Convert to fraction form
    5,603.70/7,732.80 = 3,085.72/x
  3. Step 3: Cross multiply
    5,603.70x = 7,732.80 × 3,085.72
  4. Step 4: Simplify right side
    5,603.70x = 23,861,255.62
  5. Step 5: Solve for x
    x = 23,861,255.62/5,603.70
  6. Step 6: Final answer
    x = 4,258.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.