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Finding the Fourth Proportional to 10,561.49, 15,766.57 and 9,823.38

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Solution

The fourth proportional to 10,561.49, 15,766.57 and 9,823.38 is: 14,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.49 : 15,766.57 = 9,823.38 : x
  2. Step 2: Convert to fraction form
    10,561.49/15,766.57 = 9,823.38/x
  3. Step 3: Cross multiply
    10,561.49x = 15,766.57 × 9,823.38
  4. Step 4: Simplify right side
    10,561.49x = 154,880,983.85
  5. Step 5: Solve for x
    x = 154,880,983.85/10,561.49
  6. Step 6: Final answer
    x = 14,664.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.