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Finding the Fourth Proportional to 6,984.36, 9,638.30 and 4,000.04

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Solution

The fourth proportional to 6,984.36, 9,638.30 and 4,000.04 is: 5,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.36 : 9,638.30 = 4,000.04 : x
  2. Step 2: Convert to fraction form
    6,984.36/9,638.30 = 4,000.04/x
  3. Step 3: Cross multiply
    6,984.36x = 9,638.30 × 4,000.04
  4. Step 4: Simplify right side
    6,984.36x = 38,553,585.53
  5. Step 5: Solve for x
    x = 38,553,585.53/6,984.36
  6. Step 6: Final answer
    x = 5,519.99

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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.