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Finding the Fourth Proportional to 9,656.40, 13,329 and 5,677.32

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Solution

The fourth proportional to 9,656.40, 13,329 and 5,677.32 is: 7,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.40 : 13,329 = 5,677.32 : x
  2. Step 2: Convert to fraction form
    9,656.40/13,329 = 5,677.32/x
  3. Step 3: Cross multiply
    9,656.40x = 13,329 × 5,677.32
  4. Step 4: Simplify right side
    9,656.40x = 75,672,998.28
  5. Step 5: Solve for x
    x = 75,672,998.28/9,656.40
  6. Step 6: Final answer
    x = 7,836.56

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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.