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Finding the Fourth Proportional to 7,121.76, 9,828.04 and 4,139.32

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Solution

The fourth proportional to 7,121.76, 9,828.04 and 4,139.32 is: 5,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.76 : 9,828.04 = 4,139.32 : x
  2. Step 2: Convert to fraction form
    7,121.76/9,828.04 = 4,139.32/x
  3. Step 3: Cross multiply
    7,121.76x = 9,828.04 × 4,139.32
  4. Step 4: Simplify right side
    7,121.76x = 40,681,402.53
  5. Step 5: Solve for x
    x = 40,681,402.53/7,121.76
  6. Step 6: Final answer
    x = 5,712.27

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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.