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Finding the Fourth Proportional to 11,617.72, 17,416.80 and 9,421

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Solution

The fourth proportional to 11,617.72, 17,416.80 and 9,421 is: 14,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.72 : 17,416.80 = 9,421 : x
  2. Step 2: Convert to fraction form
    11,617.72/17,416.80 = 9,421/x
  3. Step 3: Cross multiply
    11,617.72x = 17,416.80 × 9,421
  4. Step 4: Simplify right side
    11,617.72x = 164,083,672.80
  5. Step 5: Solve for x
    x = 164,083,672.80/11,617.72
  6. Step 6: Final answer
    x = 14,123.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.