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Finding the Fourth Proportional to 7,663.76, 11,479.43 and 3,507.24

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Solution

The fourth proportional to 7,663.76, 11,479.43 and 3,507.24 is: 5,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.76 : 11,479.43 = 3,507.24 : x
  2. Step 2: Convert to fraction form
    7,663.76/11,479.43 = 3,507.24/x
  3. Step 3: Cross multiply
    7,663.76x = 11,479.43 × 3,507.24
  4. Step 4: Simplify right side
    7,663.76x = 40,261,124.84
  5. Step 5: Solve for x
    x = 40,261,124.84/7,663.76
  6. Step 6: Final answer
    x = 5,253.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.