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Finding the Fourth Proportional to 10,231.94, 15,353.40 and 4,389

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Solution

The fourth proportional to 10,231.94, 15,353.40 and 4,389 is: 6,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.94 : 15,353.40 = 4,389 : x
  2. Step 2: Convert to fraction form
    10,231.94/15,353.40 = 4,389/x
  3. Step 3: Cross multiply
    10,231.94x = 15,353.40 × 4,389
  4. Step 4: Simplify right side
    10,231.94x = 67,386,072.60
  5. Step 5: Solve for x
    x = 67,386,072.60/10,231.94
  6. Step 6: Final answer
    x = 6,585.85

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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.