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Finding the Fourth Proportional to 4,991.84, 6,891.70 and 4,438.30

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Solution

The fourth proportional to 4,991.84, 6,891.70 and 4,438.30 is: 6,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.84 : 6,891.70 = 4,438.30 : x
  2. Step 2: Convert to fraction form
    4,991.84/6,891.70 = 4,438.30/x
  3. Step 3: Cross multiply
    4,991.84x = 6,891.70 × 4,438.30
  4. Step 4: Simplify right side
    4,991.84x = 30,587,432.11
  5. Step 5: Solve for x
    x = 30,587,432.11/4,991.84
  6. Step 6: Final answer
    x = 6,127.49

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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.