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Finding the Fourth Proportional to 7,340, 10,129.20 and 4,028

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Solution

The fourth proportional to 7,340, 10,129.20 and 4,028 is: 5,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340 : 10,129.20 = 4,028 : x
  2. Step 2: Convert to fraction form
    7,340/10,129.20 = 4,028/x
  3. Step 3: Cross multiply
    7,340x = 10,129.20 × 4,028
  4. Step 4: Simplify right side
    7,340x = 40,800,417.60
  5. Step 5: Solve for x
    x = 40,800,417.60/7,340
  6. Step 6: Final answer
    x = 5,558.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.