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Finding the Fourth Proportional to 7,280, 10,919.52 and 2,348.32

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Solution

The fourth proportional to 7,280, 10,919.52 and 2,348.32 is: 3,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280 : 10,919.52 = 2,348.32 : x
  2. Step 2: Convert to fraction form
    7,280/10,919.52 = 2,348.32/x
  3. Step 3: Cross multiply
    7,280x = 10,919.52 × 2,348.32
  4. Step 4: Simplify right side
    7,280x = 25,642,527.21
  5. Step 5: Solve for x
    x = 25,642,527.21/7,280
  6. Step 6: Final answer
    x = 3,522.33

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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.