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Finding the Fourth Proportional to 15,811.15, 21,816.17 and 9,435.71

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Solution

The fourth proportional to 15,811.15, 21,816.17 and 9,435.71 is: 13,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.15 : 21,816.17 = 9,435.71 : x
  2. Step 2: Convert to fraction form
    15,811.15/21,816.17 = 9,435.71/x
  3. Step 3: Cross multiply
    15,811.15x = 21,816.17 × 9,435.71
  4. Step 4: Simplify right side
    15,811.15x = 205,850,973.46
  5. Step 5: Solve for x
    x = 205,850,973.46/15,811.15
  6. Step 6: Final answer
    x = 13,019.36

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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.