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Finding the Fourth Proportional to 7,234.80, 10,859.40 and 3,541.20

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Solution

The fourth proportional to 7,234.80, 10,859.40 and 3,541.20 is: 5,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.80 : 10,859.40 = 3,541.20 : x
  2. Step 2: Convert to fraction form
    7,234.80/10,859.40 = 3,541.20/x
  3. Step 3: Cross multiply
    7,234.80x = 10,859.40 × 3,541.20
  4. Step 4: Simplify right side
    7,234.80x = 38,455,307.28
  5. Step 5: Solve for x
    x = 38,455,307.28/7,234.80
  6. Step 6: Final answer
    x = 5,315.32

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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.