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Finding the Fourth Proportional to 37,209, 51,349.23 and 20,442

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Solution

The fourth proportional to 37,209, 51,349.23 and 20,442 is: 28,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,209 : 51,349.23 = 20,442 : x
  2. Step 2: Convert to fraction form
    37,209/51,349.23 = 20,442/x
  3. Step 3: Cross multiply
    37,209x = 51,349.23 × 20,442
  4. Step 4: Simplify right side
    37,209x = 1,049,680,959.66
  5. Step 5: Solve for x
    x = 1,049,680,959.66/37,209
  6. Step 6: Final answer
    x = 28,210.41

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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.