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Finding the Fourth Proportional to 1,940, 2,910.40 and 785.76

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Solution

The fourth proportional to 1,940, 2,910.40 and 785.76 is: 1,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940 : 2,910.40 = 785.76 : x
  2. Step 2: Convert to fraction form
    1,940/2,910.40 = 785.76/x
  3. Step 3: Cross multiply
    1,940x = 2,910.40 × 785.76
  4. Step 4: Simplify right side
    1,940x = 2,286,875.90
  5. Step 5: Solve for x
    x = 2,286,875.90/1,940
  6. Step 6: Final answer
    x = 1,178.80

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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.