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Finding the Fourth Proportional to 7,930.10, 10,947.09 and 5,702.90

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Solution

The fourth proportional to 7,930.10, 10,947.09 and 5,702.90 is: 7,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.10 : 10,947.09 = 5,702.90 : x
  2. Step 2: Convert to fraction form
    7,930.10/10,947.09 = 5,702.90/x
  3. Step 3: Cross multiply
    7,930.10x = 10,947.09 × 5,702.90
  4. Step 4: Simplify right side
    7,930.10x = 62,430,159.56
  5. Step 5: Solve for x
    x = 62,430,159.56/7,930.10
  6. Step 6: Final answer
    x = 7,872.56

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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.