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Finding the Fourth Proportional to 7,657, 11,489.82 and 3,553

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Solution

The fourth proportional to 7,657, 11,489.82 and 3,553 is: 5,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657 : 11,489.82 = 3,553 : x
  2. Step 2: Convert to fraction form
    7,657/11,489.82 = 3,553/x
  3. Step 3: Cross multiply
    7,657x = 11,489.82 × 3,553
  4. Step 4: Simplify right side
    7,657x = 40,823,330.46
  5. Step 5: Solve for x
    x = 40,823,330.46/7,657
  6. Step 6: Final answer
    x = 5,331.50

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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.