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Finding the Fourth Proportional to 37,205, 51,342.90 and 20,439.08

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Solution

The fourth proportional to 37,205, 51,342.90 and 20,439.08 is: 28,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205 : 51,342.90 = 20,439.08 : x
  2. Step 2: Convert to fraction form
    37,205/51,342.90 = 20,439.08/x
  3. Step 3: Cross multiply
    37,205x = 51,342.90 × 20,439.08
  4. Step 4: Simplify right side
    37,205x = 1,049,401,640.53
  5. Step 5: Solve for x
    x = 1,049,401,640.53/37,205
  6. Step 6: Final answer
    x = 28,205.93

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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.