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Finding the Fourth Proportional to 37,216, 51,358.98 and 20,449

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Solution

The fourth proportional to 37,216, 51,358.98 and 20,449 is: 28,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,216 : 51,358.98 = 20,449 : x
  2. Step 2: Convert to fraction form
    37,216/51,358.98 = 20,449/x
  3. Step 3: Cross multiply
    37,216x = 51,358.98 × 20,449
  4. Step 4: Simplify right side
    37,216x = 1,050,239,782.02
  5. Step 5: Solve for x
    x = 1,050,239,782.02/37,216
  6. Step 6: Final answer
    x = 28,220.11

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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.