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Finding the Fourth Proportional to 10,009.68, 13,811.22 and 5,815.68

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Solution

The fourth proportional to 10,009.68, 13,811.22 and 5,815.68 is: 8,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.68 : 13,811.22 = 5,815.68 : x
  2. Step 2: Convert to fraction form
    10,009.68/13,811.22 = 5,815.68/x
  3. Step 3: Cross multiply
    10,009.68x = 13,811.22 × 5,815.68
  4. Step 4: Simplify right side
    10,009.68x = 80,321,635.93
  5. Step 5: Solve for x
    x = 80,321,635.93/10,009.68
  6. Step 6: Final answer
    x = 8,024.40

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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.