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Finding the Fourth Proportional to 9,999.75, 13,799.67 and 5,808

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Solution

The fourth proportional to 9,999.75, 13,799.67 and 5,808 is: 8,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.75 : 13,799.67 = 5,808 : x
  2. Step 2: Convert to fraction form
    9,999.75/13,799.67 = 5,808/x
  3. Step 3: Cross multiply
    9,999.75x = 13,799.67 × 5,808
  4. Step 4: Simplify right side
    9,999.75x = 80,148,483.36
  5. Step 5: Solve for x
    x = 80,148,483.36/9,999.75
  6. Step 6: Final answer
    x = 8,015.05

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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.