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Finding the Fourth Proportional to 21,975.91, 30,324.95 and 12,416.63

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Solution

The fourth proportional to 21,975.91, 30,324.95 and 12,416.63 is: 17,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.91 : 30,324.95 = 12,416.63 : x
  2. Step 2: Convert to fraction form
    21,975.91/30,324.95 = 12,416.63/x
  3. Step 3: Cross multiply
    21,975.91x = 30,324.95 × 12,416.63
  4. Step 4: Simplify right side
    21,975.91x = 376,533,470.21
  5. Step 5: Solve for x
    x = 376,533,470.21/21,975.91
  6. Step 6: Final answer
    x = 17,133.92

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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.