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Finding the Fourth Proportional to 1,854.79, 2,780.36 and 815.35

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Solution

The fourth proportional to 1,854.79, 2,780.36 and 815.35 is: 1,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.79 : 2,780.36 = 815.35 : x
  2. Step 2: Convert to fraction form
    1,854.79/2,780.36 = 815.35/x
  3. Step 3: Cross multiply
    1,854.79x = 2,780.36 × 815.35
  4. Step 4: Simplify right side
    1,854.79x = 2,266,966.53
  5. Step 5: Solve for x
    x = 2,266,966.53/1,854.79
  6. Step 6: Final answer
    x = 1,222.22

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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.