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Finding the Fourth Proportional to 6,535.84, 9,019.93 and 3,847.20

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Solution

The fourth proportional to 6,535.84, 9,019.93 and 3,847.20 is: 5,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.84 : 9,019.93 = 3,847.20 : x
  2. Step 2: Convert to fraction form
    6,535.84/9,019.93 = 3,847.20/x
  3. Step 3: Cross multiply
    6,535.84x = 9,019.93 × 3,847.20
  4. Step 4: Simplify right side
    6,535.84x = 34,701,449.29
  5. Step 5: Solve for x
    x = 34,701,449.29/6,535.84
  6. Step 6: Final answer
    x = 5,309.41

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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.