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Finding the Fourth Proportional to 7,034.40, 9,707.52 and 3,890.76

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Solution

The fourth proportional to 7,034.40, 9,707.52 and 3,890.76 is: 5,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.40 : 9,707.52 = 3,890.76 : x
  2. Step 2: Convert to fraction form
    7,034.40/9,707.52 = 3,890.76/x
  3. Step 3: Cross multiply
    7,034.40x = 9,707.52 × 3,890.76
  4. Step 4: Simplify right side
    7,034.40x = 37,769,630.52
  5. Step 5: Solve for x
    x = 37,769,630.52/7,034.40
  6. Step 6: Final answer
    x = 5,369.28

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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.