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Finding the Fourth Proportional to 7,689.89, 11,534.84 and 5,502.89

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Solution

The fourth proportional to 7,689.89, 11,534.84 and 5,502.89 is: 8,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.89 : 11,534.84 = 5,502.89 : x
  2. Step 2: Convert to fraction form
    7,689.89/11,534.84 = 5,502.89/x
  3. Step 3: Cross multiply
    7,689.89x = 11,534.84 × 5,502.89
  4. Step 4: Simplify right side
    7,689.89x = 63,474,955.69
  5. Step 5: Solve for x
    x = 63,474,955.69/7,689.89
  6. Step 6: Final answer
    x = 8,254.34

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Similar ratio
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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.