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Finding the Fourth Proportional to 6,628.61, 9,148.31 and 3,834.11

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Solution

The fourth proportional to 6,628.61, 9,148.31 and 3,834.11 is: 5,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.61 : 9,148.31 = 3,834.11 : x
  2. Step 2: Convert to fraction form
    6,628.61/9,148.31 = 3,834.11/x
  3. Step 3: Cross multiply
    6,628.61x = 9,148.31 × 3,834.11
  4. Step 4: Simplify right side
    6,628.61x = 35,075,626.85
  5. Step 5: Solve for x
    x = 35,075,626.85/6,628.61
  6. Step 6: Final answer
    x = 5,291.55

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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.