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Finding the Fourth Proportional to 17,911.72, 24,718.08 and 9,845.56

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Solution

The fourth proportional to 17,911.72, 24,718.08 and 9,845.56 is: 13,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.72 : 24,718.08 = 9,845.56 : x
  2. Step 2: Convert to fraction form
    17,911.72/24,718.08 = 9,845.56/x
  3. Step 3: Cross multiply
    17,911.72x = 24,718.08 × 9,845.56
  4. Step 4: Simplify right side
    17,911.72x = 243,363,339.72
  5. Step 5: Solve for x
    x = 243,363,339.72/17,911.72
  6. Step 6: Final answer
    x = 13,586.82

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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.