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Finding the Fourth Proportional to 7,034.21, 9,707.09 and 3,890.40

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Solution

The fourth proportional to 7,034.21, 9,707.09 and 3,890.40 is: 5,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.21 : 9,707.09 = 3,890.40 : x
  2. Step 2: Convert to fraction form
    7,034.21/9,707.09 = 3,890.40/x
  3. Step 3: Cross multiply
    7,034.21x = 9,707.09 × 3,890.40
  4. Step 4: Simplify right side
    7,034.21x = 37,764,428.97
  5. Step 5: Solve for x
    x = 37,764,428.97/7,034.21
  6. Step 6: Final answer
    x = 5,368.68

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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.