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Finding the Fourth Proportional to 9,671, 13,346.06 and 5,255

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Solution

The fourth proportional to 9,671, 13,346.06 and 5,255 is: 7,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671 : 13,346.06 = 5,255 : x
  2. Step 2: Convert to fraction form
    9,671/13,346.06 = 5,255/x
  3. Step 3: Cross multiply
    9,671x = 13,346.06 × 5,255
  4. Step 4: Simplify right side
    9,671x = 70,133,545.30
  5. Step 5: Solve for x
    x = 70,133,545.30/9,671
  6. Step 6: Final answer
    x = 7,251.94

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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.