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Finding the Fourth Proportional to 9,117.18, 13,671 and 4,182.54

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Solution

The fourth proportional to 9,117.18, 13,671 and 4,182.54 is: 6,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.18 : 13,671 = 4,182.54 : x
  2. Step 2: Convert to fraction form
    9,117.18/13,671 = 4,182.54/x
  3. Step 3: Cross multiply
    9,117.18x = 13,671 × 4,182.54
  4. Step 4: Simplify right side
    9,117.18x = 57,179,504.34
  5. Step 5: Solve for x
    x = 57,179,504.34/9,117.18
  6. Step 6: Final answer
    x = 6,271.62

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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.