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Finding the Fourth Proportional to 7,304, 10,948.40 and 3,405.20

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Solution

The fourth proportional to 7,304, 10,948.40 and 3,405.20 is: 5,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304 : 10,948.40 = 3,405.20 : x
  2. Step 2: Convert to fraction form
    7,304/10,948.40 = 3,405.20/x
  3. Step 3: Cross multiply
    7,304x = 10,948.40 × 3,405.20
  4. Step 4: Simplify right side
    7,304x = 37,281,491.68
  5. Step 5: Solve for x
    x = 37,281,491.68/7,304
  6. Step 6: Final answer
    x = 5,104.26

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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.