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Finding the Fourth Proportional to 7,129.32, 9,838.36 and 4,146.88

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Solution

The fourth proportional to 7,129.32, 9,838.36 and 4,146.88 is: 5,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.32 : 9,838.36 = 4,146.88 : x
  2. Step 2: Convert to fraction form
    7,129.32/9,838.36 = 4,146.88/x
  3. Step 3: Cross multiply
    7,129.32x = 9,838.36 × 4,146.88
  4. Step 4: Simplify right side
    7,129.32x = 40,798,498.32
  5. Step 5: Solve for x
    x = 40,798,498.32/7,129.32
  6. Step 6: Final answer
    x = 5,722.64

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