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Finding the Fourth Proportional to 10,749.92, 14,798.48 and 9,249.12

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Solution

The fourth proportional to 10,749.92, 14,798.48 and 9,249.12 is: 12,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.92 : 14,798.48 = 9,249.12 : x
  2. Step 2: Convert to fraction form
    10,749.92/14,798.48 = 9,249.12/x
  3. Step 3: Cross multiply
    10,749.92x = 14,798.48 × 9,249.12
  4. Step 4: Simplify right side
    10,749.92x = 136,872,917.34
  5. Step 5: Solve for x
    x = 136,872,917.34/10,749.92
  6. Step 6: Final answer
    x = 12,732.46

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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.