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Finding the Fourth Proportional to 7,755.71, 10,702.57 and 4,218.94

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Solution

The fourth proportional to 7,755.71, 10,702.57 and 4,218.94 is: 5,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.71 : 10,702.57 = 4,218.94 : x
  2. Step 2: Convert to fraction form
    7,755.71/10,702.57 = 4,218.94/x
  3. Step 3: Cross multiply
    7,755.71x = 10,702.57 × 4,218.94
  4. Step 4: Simplify right side
    7,755.71x = 45,153,426.07
  5. Step 5: Solve for x
    x = 45,153,426.07/7,755.71
  6. Step 6: Final answer
    x = 5,821.96

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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.