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Finding the Fourth Proportional to 9,173.92, 12,660 and 4,982.16

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Solution

The fourth proportional to 9,173.92, 12,660 and 4,982.16 is: 6,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.92 : 12,660 = 4,982.16 : x
  2. Step 2: Convert to fraction form
    9,173.92/12,660 = 4,982.16/x
  3. Step 3: Cross multiply
    9,173.92x = 12,660 × 4,982.16
  4. Step 4: Simplify right side
    9,173.92x = 63,074,145.60
  5. Step 5: Solve for x
    x = 63,074,145.60/9,173.92
  6. Step 6: Final answer
    x = 6,875.38

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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.