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Finding the Fourth Proportional to 16,885.76, 23,289.04 and 15,754

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Solution

The fourth proportional to 16,885.76, 23,289.04 and 15,754 is: 21,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,885.76 : 23,289.04 = 15,754 : x
  2. Step 2: Convert to fraction form
    16,885.76/23,289.04 = 15,754/x
  3. Step 3: Cross multiply
    16,885.76x = 23,289.04 × 15,754
  4. Step 4: Simplify right side
    16,885.76x = 366,895,536.16
  5. Step 5: Solve for x
    x = 366,895,536.16/16,885.76
  6. Step 6: Final answer
    x = 21,728.10

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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.