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Finding the Fourth Proportional to 7,534.40, 11,303.40 and 3,837.20

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Solution

The fourth proportional to 7,534.40, 11,303.40 and 3,837.20 is: 5,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.40 : 11,303.40 = 3,837.20 : x
  2. Step 2: Convert to fraction form
    7,534.40/11,303.40 = 3,837.20/x
  3. Step 3: Cross multiply
    7,534.40x = 11,303.40 × 3,837.20
  4. Step 4: Simplify right side
    7,534.40x = 43,373,406.48
  5. Step 5: Solve for x
    x = 43,373,406.48/7,534.40
  6. Step 6: Final answer
    x = 5,756.72

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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.