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Finding the Fourth Proportional to 6,438.30, 9,645.30 and 6,000.90

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Solution

The fourth proportional to 6,438.30, 9,645.30 and 6,000.90 is: 8,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.30 : 9,645.30 = 6,000.90 : x
  2. Step 2: Convert to fraction form
    6,438.30/9,645.30 = 6,000.90/x
  3. Step 3: Cross multiply
    6,438.30x = 9,645.30 × 6,000.90
  4. Step 4: Simplify right side
    6,438.30x = 57,880,480.77
  5. Step 5: Solve for x
    x = 57,880,480.77/6,438.30
  6. Step 6: Final answer
    x = 8,990.03

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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.