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Finding the Fourth Proportional to 16,787, 23,166.06 and 9,335

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Solution

The fourth proportional to 16,787, 23,166.06 and 9,335 is: 12,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,787 : 23,166.06 = 9,335 : x
  2. Step 2: Convert to fraction form
    16,787/23,166.06 = 9,335/x
  3. Step 3: Cross multiply
    16,787x = 23,166.06 × 9,335
  4. Step 4: Simplify right side
    16,787x = 216,255,170.10
  5. Step 5: Solve for x
    x = 216,255,170.10/16,787
  6. Step 6: Final answer
    x = 12,882.30

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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.