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Finding the Fourth Proportional to 10,537.48, 15,806.06 and 3,142

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Solution

The fourth proportional to 10,537.48, 15,806.06 and 3,142 is: 4,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.48 : 15,806.06 = 3,142 : x
  2. Step 2: Convert to fraction form
    10,537.48/15,806.06 = 3,142/x
  3. Step 3: Cross multiply
    10,537.48x = 15,806.06 × 3,142
  4. Step 4: Simplify right side
    10,537.48x = 49,662,640.52
  5. Step 5: Solve for x
    x = 49,662,640.52/10,537.48
  6. Step 6: Final answer
    x = 4,712.95

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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.