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Finding the Fourth Proportional to 37,209, 51,348.78 and 20,442.36

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Solution

The fourth proportional to 37,209, 51,348.78 and 20,442.36 is: 28,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,209 : 51,348.78 = 20,442.36 : x
  2. Step 2: Convert to fraction form
    37,209/51,348.78 = 20,442.36/x
  3. Step 3: Cross multiply
    37,209x = 51,348.78 × 20,442.36
  4. Step 4: Simplify right side
    37,209x = 1,049,690,246.32
  5. Step 5: Solve for x
    x = 1,049,690,246.32/37,209
  6. Step 6: Final answer
    x = 28,210.65

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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.