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Finding the Fourth Proportional to 1,954.07, 2,931.14 and 637.82

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Solution

The fourth proportional to 1,954.07, 2,931.14 and 637.82 is: 956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.07 : 2,931.14 = 637.82 : x
  2. Step 2: Convert to fraction form
    1,954.07/2,931.14 = 637.82/x
  3. Step 3: Cross multiply
    1,954.07x = 2,931.14 × 637.82
  4. Step 4: Simplify right side
    1,954.07x = 1,869,521.87
  5. Step 5: Solve for x
    x = 1,869,521.87/1,954.07
  6. Step 6: Final answer
    x = 956.73

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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.