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Finding the Fourth Proportional to 7,138.95, 10,702.26 and 3,443.77

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Solution

The fourth proportional to 7,138.95, 10,702.26 and 3,443.77 is: 5,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.95 : 10,702.26 = 3,443.77 : x
  2. Step 2: Convert to fraction form
    7,138.95/10,702.26 = 3,443.77/x
  3. Step 3: Cross multiply
    7,138.95x = 10,702.26 × 3,443.77
  4. Step 4: Simplify right side
    7,138.95x = 36,856,130.53
  5. Step 5: Solve for x
    x = 36,856,130.53/7,138.95
  6. Step 6: Final answer
    x = 5,162.69

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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.