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Finding the Fourth Proportional to 7,765.82, 10,715 and 4,407.90

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Solution

The fourth proportional to 7,765.82, 10,715 and 4,407.90 is: 6,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.82 : 10,715 = 4,407.90 : x
  2. Step 2: Convert to fraction form
    7,765.82/10,715 = 4,407.90/x
  3. Step 3: Cross multiply
    7,765.82x = 10,715 × 4,407.90
  4. Step 4: Simplify right side
    7,765.82x = 47,230,648.50
  5. Step 5: Solve for x
    x = 47,230,648.50/7,765.82
  6. Step 6: Final answer
    x = 6,081.86

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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.