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Finding the Fourth Proportional to 10,148.64, 15,223 and 3,128.60

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Solution

The fourth proportional to 10,148.64, 15,223 and 3,128.60 is: 4,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.64 : 15,223 = 3,128.60 : x
  2. Step 2: Convert to fraction form
    10,148.64/15,223 = 3,128.60/x
  3. Step 3: Cross multiply
    10,148.64x = 15,223 × 3,128.60
  4. Step 4: Simplify right side
    10,148.64x = 47,626,677.80
  5. Step 5: Solve for x
    x = 47,626,677.80/10,148.64
  6. Step 6: Final answer
    x = 4,692.91

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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.