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Finding the Fourth Proportional to 10,402.40, 15,603.60 and 3,828.80

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Solution

The fourth proportional to 10,402.40, 15,603.60 and 3,828.80 is: 5,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.40 : 15,603.60 = 3,828.80 : x
  2. Step 2: Convert to fraction form
    10,402.40/15,603.60 = 3,828.80/x
  3. Step 3: Cross multiply
    10,402.40x = 15,603.60 × 3,828.80
  4. Step 4: Simplify right side
    10,402.40x = 59,743,063.68
  5. Step 5: Solve for x
    x = 59,743,063.68/10,402.40
  6. Step 6: Final answer
    x = 5,743.20

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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.