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Finding the Fourth Proportional to 10,012.70, 15,026.40 and 4,469.68

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Solution

The fourth proportional to 10,012.70, 15,026.40 and 4,469.68 is: 6,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.70 : 15,026.40 = 4,469.68 : x
  2. Step 2: Convert to fraction form
    10,012.70/15,026.40 = 4,469.68/x
  3. Step 3: Cross multiply
    10,012.70x = 15,026.40 × 4,469.68
  4. Step 4: Simplify right side
    10,012.70x = 67,163,212.05
  5. Step 5: Solve for x
    x = 67,163,212.05/10,012.70
  6. Step 6: Final answer
    x = 6,707.80

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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.