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Finding the Fourth Proportional to 9,737, 13,439.16 and 6,199.46

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Solution

The fourth proportional to 9,737, 13,439.16 and 6,199.46 is: 8,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737 : 13,439.16 = 6,199.46 : x
  2. Step 2: Convert to fraction form
    9,737/13,439.16 = 6,199.46/x
  3. Step 3: Cross multiply
    9,737x = 13,439.16 × 6,199.46
  4. Step 4: Simplify right side
    9,737x = 83,315,534.85
  5. Step 5: Solve for x
    x = 83,315,534.85/9,737
  6. Step 6: Final answer
    x = 8,556.59

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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.