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Finding the Fourth Proportional to 2,030.60, 3,045.83 and 780.86

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Solution

The fourth proportional to 2,030.60, 3,045.83 and 780.86 is: 1,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.60 : 3,045.83 = 780.86 : x
  2. Step 2: Convert to fraction form
    2,030.60/3,045.83 = 780.86/x
  3. Step 3: Cross multiply
    2,030.60x = 3,045.83 × 780.86
  4. Step 4: Simplify right side
    2,030.60x = 2,378,370.52
  5. Step 5: Solve for x
    x = 2,378,370.52/2,030.60
  6. Step 6: Final answer
    x = 1,171.26

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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.