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Finding the Fourth Proportional to 7,064.73, 9,749.84 and 3,920.90

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Solution

The fourth proportional to 7,064.73, 9,749.84 and 3,920.90 is: 5,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.73 : 9,749.84 = 3,920.90 : x
  2. Step 2: Convert to fraction form
    7,064.73/9,749.84 = 3,920.90/x
  3. Step 3: Cross multiply
    7,064.73x = 9,749.84 × 3,920.90
  4. Step 4: Simplify right side
    7,064.73x = 38,228,079.30
  5. Step 5: Solve for x
    x = 38,228,079.30/7,064.73
  6. Step 6: Final answer
    x = 5,411.12

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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.