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Finding the Fourth Proportional to 7,064.57, 9,749.07 and 3,920.76

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Solution

The fourth proportional to 7,064.57, 9,749.07 and 3,920.76 is: 5,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.57 : 9,749.07 = 3,920.76 : x
  2. Step 2: Convert to fraction form
    7,064.57/9,749.07 = 3,920.76/x
  3. Step 3: Cross multiply
    7,064.57x = 9,749.07 × 3,920.76
  4. Step 4: Simplify right side
    7,064.57x = 38,223,763.69
  5. Step 5: Solve for x
    x = 38,223,763.69/7,064.57
  6. Step 6: Final answer
    x = 5,410.63

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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.