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Finding the Fourth Proportional to 7,712.55, 10,640.97 and 5,323.32

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Solution

The fourth proportional to 7,712.55, 10,640.97 and 5,323.32 is: 7,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.55 : 10,640.97 = 5,323.32 : x
  2. Step 2: Convert to fraction form
    7,712.55/10,640.97 = 5,323.32/x
  3. Step 3: Cross multiply
    7,712.55x = 10,640.97 × 5,323.32
  4. Step 4: Simplify right side
    7,712.55x = 56,645,288.42
  5. Step 5: Solve for x
    x = 56,645,288.42/7,712.55
  6. Step 6: Final answer
    x = 7,344.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.