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Finding the Fourth Proportional to 9,789.90, 13,503.90 and 5,808.19

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Solution

The fourth proportional to 9,789.90, 13,503.90 and 5,808.19 is: 8,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.90 : 13,503.90 = 5,808.19 : x
  2. Step 2: Convert to fraction form
    9,789.90/13,503.90 = 5,808.19/x
  3. Step 3: Cross multiply
    9,789.90x = 13,503.90 × 5,808.19
  4. Step 4: Simplify right side
    9,789.90x = 78,433,183.18
  5. Step 5: Solve for x
    x = 78,433,183.18/9,789.90
  6. Step 6: Final answer
    x = 8,011.64

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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.