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Finding the Fourth Proportional to 9,737.33, 13,438.49 and 5,962.95

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Solution

The fourth proportional to 9,737.33, 13,438.49 and 5,962.95 is: 8,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.33 : 13,438.49 = 5,962.95 : x
  2. Step 2: Convert to fraction form
    9,737.33/13,438.49 = 5,962.95/x
  3. Step 3: Cross multiply
    9,737.33x = 13,438.49 × 5,962.95
  4. Step 4: Simplify right side
    9,737.33x = 80,133,014.13
  5. Step 5: Solve for x
    x = 80,133,014.13/9,737.33
  6. Step 6: Final answer
    x = 8,229.47

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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.