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Finding the Fourth Proportional to 5,643.84, 8,465.52 and 2,722.40

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Solution

The fourth proportional to 5,643.84, 8,465.52 and 2,722.40 is: 4,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.84 : 8,465.52 = 2,722.40 : x
  2. Step 2: Convert to fraction form
    5,643.84/8,465.52 = 2,722.40/x
  3. Step 3: Cross multiply
    5,643.84x = 8,465.52 × 2,722.40
  4. Step 4: Simplify right side
    5,643.84x = 23,046,531.65
  5. Step 5: Solve for x
    x = 23,046,531.65/5,643.84
  6. Step 6: Final answer
    x = 4,083.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.