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Finding the Fourth Proportional to 7,128.78, 9,833.04 and 4,294.20

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Solution

The fourth proportional to 7,128.78, 9,833.04 and 4,294.20 is: 5,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.78 : 9,833.04 = 4,294.20 : x
  2. Step 2: Convert to fraction form
    7,128.78/9,833.04 = 4,294.20/x
  3. Step 3: Cross multiply
    7,128.78x = 9,833.04 × 4,294.20
  4. Step 4: Simplify right side
    7,128.78x = 42,225,040.37
  5. Step 5: Solve for x
    x = 42,225,040.37/7,128.78
  6. Step 6: Final answer
    x = 5,923.18

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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.