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Finding the Fourth Proportional to 9,324.72, 12,864.42 and 6,491.34

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Solution

The fourth proportional to 9,324.72, 12,864.42 and 6,491.34 is: 8,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.72 : 12,864.42 = 6,491.34 : x
  2. Step 2: Convert to fraction form
    9,324.72/12,864.42 = 6,491.34/x
  3. Step 3: Cross multiply
    9,324.72x = 12,864.42 × 6,491.34
  4. Step 4: Simplify right side
    9,324.72x = 83,507,324.12
  5. Step 5: Solve for x
    x = 83,507,324.12/9,324.72
  6. Step 6: Final answer
    x = 8,955.48

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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.