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Finding the Fourth Proportional to 1,854.14, 2,780.96 and 520.03

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Solution

The fourth proportional to 1,854.14, 2,780.96 and 520.03 is: 779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.14 : 2,780.96 = 520.03 : x
  2. Step 2: Convert to fraction form
    1,854.14/2,780.96 = 520.03/x
  3. Step 3: Cross multiply
    1,854.14x = 2,780.96 × 520.03
  4. Step 4: Simplify right side
    1,854.14x = 1,446,185.45
  5. Step 5: Solve for x
    x = 1,446,185.45/1,854.14
  6. Step 6: Final answer
    x = 779.98

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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.