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Finding the Fourth Proportional to 1,937.19, 2,905.92 and 638.67

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Solution

The fourth proportional to 1,937.19, 2,905.92 and 638.67 is: 958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.19 : 2,905.92 = 638.67 : x
  2. Step 2: Convert to fraction form
    1,937.19/2,905.92 = 638.67/x
  3. Step 3: Cross multiply
    1,937.19x = 2,905.92 × 638.67
  4. Step 4: Simplify right side
    1,937.19x = 1,855,923.93
  5. Step 5: Solve for x
    x = 1,855,923.93/1,937.19
  6. Step 6: Final answer
    x = 958.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.