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Finding the Fourth Proportional to 2,071.98, 3,107.87 and 773.35

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Solution

The fourth proportional to 2,071.98, 3,107.87 and 773.35 is: 1,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.98 : 3,107.87 = 773.35 : x
  2. Step 2: Convert to fraction form
    2,071.98/3,107.87 = 773.35/x
  3. Step 3: Cross multiply
    2,071.98x = 3,107.87 × 773.35
  4. Step 4: Simplify right side
    2,071.98x = 2,403,459.63
  5. Step 5: Solve for x
    x = 2,403,459.63/2,071.98
  6. Step 6: Final answer
    x = 1,159.98

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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.