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Finding the Fourth Proportional to 7,121.32, 9,820.02 and 5,141.32

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Solution

The fourth proportional to 7,121.32, 9,820.02 and 5,141.32 is: 7,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.32 : 9,820.02 = 5,141.32 : x
  2. Step 2: Convert to fraction form
    7,121.32/9,820.02 = 5,141.32/x
  3. Step 3: Cross multiply
    7,121.32x = 9,820.02 × 5,141.32
  4. Step 4: Simplify right side
    7,121.32x = 50,487,865.23
  5. Step 5: Solve for x
    x = 50,487,865.23/7,121.32
  6. Step 6: Final answer
    x = 7,089.68

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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.