Home / 10,283.38-15,424.92-2,492.14

Finding the Fourth Proportional to 10,283.38, 15,424.92 and 2,492.14

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Solution

The fourth proportional to 10,283.38, 15,424.92 and 2,492.14 is: 3,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.38 : 15,424.92 = 2,492.14 : x
  2. Step 2: Convert to fraction form
    10,283.38/15,424.92 = 2,492.14/x
  3. Step 3: Cross multiply
    10,283.38x = 15,424.92 × 2,492.14
  4. Step 4: Simplify right side
    10,283.38x = 38,441,060.13
  5. Step 5: Solve for x
    x = 38,441,060.13/10,283.38
  6. Step 6: Final answer
    x = 3,738.17

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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.