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Finding the Fourth Proportional to 1,855.13, 2,780.97 and 929.70

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Solution

The fourth proportional to 1,855.13, 2,780.97 and 929.70 is: 1,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.13 : 2,780.97 = 929.70 : x
  2. Step 2: Convert to fraction form
    1,855.13/2,780.97 = 929.70/x
  3. Step 3: Cross multiply
    1,855.13x = 2,780.97 × 929.70
  4. Step 4: Simplify right side
    1,855.13x = 2,585,467.81
  5. Step 5: Solve for x
    x = 2,585,467.81/1,855.13
  6. Step 6: Final answer
    x = 1,393.69

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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.