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Finding the Fourth Proportional to 9,930.30, 13,703.81 and 5,738.55

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Solution

The fourth proportional to 9,930.30, 13,703.81 and 5,738.55 is: 7,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.30 : 13,703.81 = 5,738.55 : x
  2. Step 2: Convert to fraction form
    9,930.30/13,703.81 = 5,738.55/x
  3. Step 3: Cross multiply
    9,930.30x = 13,703.81 × 5,738.55
  4. Step 4: Simplify right side
    9,930.30x = 78,639,970.18
  5. Step 5: Solve for x
    x = 78,639,970.18/9,930.30
  6. Step 6: Final answer
    x = 7,919.19

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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.