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Finding the Fourth Proportional to 7,656.72, 10,566.78 and 4,469.76

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Solution

The fourth proportional to 7,656.72, 10,566.78 and 4,469.76 is: 6,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.72 : 10,566.78 = 4,469.76 : x
  2. Step 2: Convert to fraction form
    7,656.72/10,566.78 = 4,469.76/x
  3. Step 3: Cross multiply
    7,656.72x = 10,566.78 × 4,469.76
  4. Step 4: Simplify right side
    7,656.72x = 47,230,970.57
  5. Step 5: Solve for x
    x = 47,230,970.57/7,656.72
  6. Step 6: Final answer
    x = 6,168.56

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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.