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Finding the Fourth Proportional to 9,677.49, 13,355.08 and 5,429.49

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Solution

The fourth proportional to 9,677.49, 13,355.08 and 5,429.49 is: 7,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.49 : 13,355.08 = 5,429.49 : x
  2. Step 2: Convert to fraction form
    9,677.49/13,355.08 = 5,429.49/x
  3. Step 3: Cross multiply
    9,677.49x = 13,355.08 × 5,429.49
  4. Step 4: Simplify right side
    9,677.49x = 72,511,273.31
  5. Step 5: Solve for x
    x = 72,511,273.31/9,677.49
  6. Step 6: Final answer
    x = 7,492.78

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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.