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Finding the Fourth Proportional to 4,428.54, 6,638.94 and 4,209.84

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Solution

The fourth proportional to 4,428.54, 6,638.94 and 4,209.84 is: 6,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428.54 : 6,638.94 = 4,209.84 : x
  2. Step 2: Convert to fraction form
    4,428.54/6,638.94 = 4,209.84/x
  3. Step 3: Cross multiply
    4,428.54x = 6,638.94 × 4,209.84
  4. Step 4: Simplify right side
    4,428.54x = 27,948,875.17
  5. Step 5: Solve for x
    x = 27,948,875.17/4,428.54
  6. Step 6: Final answer
    x = 6,311.08

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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.