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Finding the Fourth Proportional to 16,971.61, 23,421.92 and 9,417.96

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Solution

The fourth proportional to 16,971.61, 23,421.92 and 9,417.96 is: 12,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.61 : 23,421.92 = 9,417.96 : x
  2. Step 2: Convert to fraction form
    16,971.61/23,421.92 = 9,417.96/x
  3. Step 3: Cross multiply
    16,971.61x = 23,421.92 × 9,417.96
  4. Step 4: Simplify right side
    16,971.61x = 220,586,705.68
  5. Step 5: Solve for x
    x = 220,586,705.68/16,971.61
  6. Step 6: Final answer
    x = 12,997.39

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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.