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Finding the Fourth Proportional to 4,978.08, 6,868.68 and 3,209.40

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Solution

The fourth proportional to 4,978.08, 6,868.68 and 3,209.40 is: 4,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.08 : 6,868.68 = 3,209.40 : x
  2. Step 2: Convert to fraction form
    4,978.08/6,868.68 = 3,209.40/x
  3. Step 3: Cross multiply
    4,978.08x = 6,868.68 × 3,209.40
  4. Step 4: Simplify right side
    4,978.08x = 22,044,341.59
  5. Step 5: Solve for x
    x = 22,044,341.59/4,978.08
  6. Step 6: Final answer
    x = 4,428.28

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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.