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Finding the Fourth Proportional to 1,854.65, 2,780.40 and 813.86

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Solution

The fourth proportional to 1,854.65, 2,780.40 and 813.86 is: 1,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.65 : 2,780.40 = 813.86 : x
  2. Step 2: Convert to fraction form
    1,854.65/2,780.40 = 813.86/x
  3. Step 3: Cross multiply
    1,854.65x = 2,780.40 × 813.86
  4. Step 4: Simplify right side
    1,854.65x = 2,262,866.98
  5. Step 5: Solve for x
    x = 2,262,866.98/1,854.65
  6. Step 6: Final answer
    x = 1,220.10

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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.