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Finding the Fourth Proportional to 7,034.71, 9,707.78 and 3,890.90

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Solution

The fourth proportional to 7,034.71, 9,707.78 and 3,890.90 is: 5,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.71 : 9,707.78 = 3,890.90 : x
  2. Step 2: Convert to fraction form
    7,034.71/9,707.78 = 3,890.90/x
  3. Step 3: Cross multiply
    7,034.71x = 9,707.78 × 3,890.90
  4. Step 4: Simplify right side
    7,034.71x = 37,771,952.66
  5. Step 5: Solve for x
    x = 37,771,952.66/7,034.71
  6. Step 6: Final answer
    x = 5,369.37

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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.