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Finding the Fourth Proportional to 7,152.64, 10,721.64 and 2,768.40

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Solution

The fourth proportional to 7,152.64, 10,721.64 and 2,768.40 is: 4,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.64 : 10,721.64 = 2,768.40 : x
  2. Step 2: Convert to fraction form
    7,152.64/10,721.64 = 2,768.40/x
  3. Step 3: Cross multiply
    7,152.64x = 10,721.64 × 2,768.40
  4. Step 4: Simplify right side
    7,152.64x = 29,681,788.18
  5. Step 5: Solve for x
    x = 29,681,788.18/7,152.64
  6. Step 6: Final answer
    x = 4,149.77

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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.