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Finding the Fourth Proportional to 7,540, 10,405.20 and 4,395.58

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Solution

The fourth proportional to 7,540, 10,405.20 and 4,395.58 is: 6,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540 : 10,405.20 = 4,395.58 : x
  2. Step 2: Convert to fraction form
    7,540/10,405.20 = 4,395.58/x
  3. Step 3: Cross multiply
    7,540x = 10,405.20 × 4,395.58
  4. Step 4: Simplify right side
    7,540x = 45,736,889.02
  5. Step 5: Solve for x
    x = 45,736,889.02/7,540
  6. Step 6: Final answer
    x = 6,065.90

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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.