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Finding the Fourth Proportional to 1,931.08, 2,894.34 and 697.84

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Solution

The fourth proportional to 1,931.08, 2,894.34 and 697.84 is: 1,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.08 : 2,894.34 = 697.84 : x
  2. Step 2: Convert to fraction form
    1,931.08/2,894.34 = 697.84/x
  3. Step 3: Cross multiply
    1,931.08x = 2,894.34 × 697.84
  4. Step 4: Simplify right side
    1,931.08x = 2,019,786.23
  5. Step 5: Solve for x
    x = 2,019,786.23/1,931.08
  6. Step 6: Final answer
    x = 1,045.94

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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.