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Finding the Fourth Proportional to 7,755.70, 10,702.74 and 4,218.97

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Solution

The fourth proportional to 7,755.70, 10,702.74 and 4,218.97 is: 5,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.70 : 10,702.74 = 4,218.97 : x
  2. Step 2: Convert to fraction form
    7,755.70/10,702.74 = 4,218.97/x
  3. Step 3: Cross multiply
    7,755.70x = 10,702.74 × 4,218.97
  4. Step 4: Simplify right side
    7,755.70x = 45,154,538.98
  5. Step 5: Solve for x
    x = 45,154,538.98/7,755.70
  6. Step 6: Final answer
    x = 5,822.11

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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.