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Finding the Fourth Proportional to 16,822, 23,215.16 and 9,370

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Solution

The fourth proportional to 16,822, 23,215.16 and 9,370 is: 12,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822 : 23,215.16 = 9,370 : x
  2. Step 2: Convert to fraction form
    16,822/23,215.16 = 9,370/x
  3. Step 3: Cross multiply
    16,822x = 23,215.16 × 9,370
  4. Step 4: Simplify right side
    16,822x = 217,526,049.20
  5. Step 5: Solve for x
    x = 217,526,049.20/16,822
  6. Step 6: Final answer
    x = 12,931.05

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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.