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Finding the Fourth Proportional to 5,564.84, 7,680.42 and 3,208.34

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Solution

The fourth proportional to 5,564.84, 7,680.42 and 3,208.34 is: 4,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.84 : 7,680.42 = 3,208.34 : x
  2. Step 2: Convert to fraction form
    5,564.84/7,680.42 = 3,208.34/x
  3. Step 3: Cross multiply
    5,564.84x = 7,680.42 × 3,208.34
  4. Step 4: Simplify right side
    5,564.84x = 24,641,398.70
  5. Step 5: Solve for x
    x = 24,641,398.70/5,564.84
  6. Step 6: Final answer
    x = 4,428.05

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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.