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Finding the Fourth Proportional to 7,064.36, 9,749.04 and 3,920.78

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Solution

The fourth proportional to 7,064.36, 9,749.04 and 3,920.78 is: 5,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.36 : 9,749.04 = 3,920.78 : x
  2. Step 2: Convert to fraction form
    7,064.36/9,749.04 = 3,920.78/x
  3. Step 3: Cross multiply
    7,064.36x = 9,749.04 × 3,920.78
  4. Step 4: Simplify right side
    7,064.36x = 38,223,841.05
  5. Step 5: Solve for x
    x = 38,223,841.05/7,064.36
  6. Step 6: Final answer
    x = 5,410.80

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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.