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Finding the Fourth Proportional to 1,931.95, 2,897.65 and 633.25

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Solution

The fourth proportional to 1,931.95, 2,897.65 and 633.25 is: 949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.95 : 2,897.65 = 633.25 : x
  2. Step 2: Convert to fraction form
    1,931.95/2,897.65 = 633.25/x
  3. Step 3: Cross multiply
    1,931.95x = 2,897.65 × 633.25
  4. Step 4: Simplify right side
    1,931.95x = 1,834,936.86
  5. Step 5: Solve for x
    x = 1,834,936.86/1,931.95
  6. Step 6: Final answer
    x = 949.78

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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.