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Finding the Fourth Proportional to 11,585.92, 15,982.08 and 7,386.88

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Solution

The fourth proportional to 11,585.92, 15,982.08 and 7,386.88 is: 10,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.92 : 15,982.08 = 7,386.88 : x
  2. Step 2: Convert to fraction form
    11,585.92/15,982.08 = 7,386.88/x
  3. Step 3: Cross multiply
    11,585.92x = 15,982.08 × 7,386.88
  4. Step 4: Simplify right side
    11,585.92x = 118,057,707.11
  5. Step 5: Solve for x
    x = 118,057,707.11/11,585.92
  6. Step 6: Final answer
    x = 10,189.76

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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.