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Finding the Fourth Proportional to 7,798.35, 11,702.13 and 4,100.87

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Solution

The fourth proportional to 7,798.35, 11,702.13 and 4,100.87 is: 6,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.35 : 11,702.13 = 4,100.87 : x
  2. Step 2: Convert to fraction form
    7,798.35/11,702.13 = 4,100.87/x
  3. Step 3: Cross multiply
    7,798.35x = 11,702.13 × 4,100.87
  4. Step 4: Simplify right side
    7,798.35x = 47,988,874.28
  5. Step 5: Solve for x
    x = 47,988,874.28/7,798.35
  6. Step 6: Final answer
    x = 6,153.72

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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.