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Finding the Fourth Proportional to 6,929.70, 9,540.81 and 5,607.78

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Solution

The fourth proportional to 6,929.70, 9,540.81 and 5,607.78 is: 7,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.70 : 9,540.81 = 5,607.78 : x
  2. Step 2: Convert to fraction form
    6,929.70/9,540.81 = 5,607.78/x
  3. Step 3: Cross multiply
    6,929.70x = 9,540.81 × 5,607.78
  4. Step 4: Simplify right side
    6,929.70x = 53,502,763.50
  5. Step 5: Solve for x
    x = 53,502,763.50/6,929.70
  6. Step 6: Final answer
    x = 7,720.79

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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.