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Finding the Fourth Proportional to 15,981.06, 23,979.69 and 10,776

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Solution

The fourth proportional to 15,981.06, 23,979.69 and 10,776 is: 16,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981.06 : 23,979.69 = 10,776 : x
  2. Step 2: Convert to fraction form
    15,981.06/23,979.69 = 10,776/x
  3. Step 3: Cross multiply
    15,981.06x = 23,979.69 × 10,776
  4. Step 4: Simplify right side
    15,981.06x = 258,405,139.44
  5. Step 5: Solve for x
    x = 258,405,139.44/15,981.06
  6. Step 6: Final answer
    x = 16,169.46

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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.