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Finding the Fourth Proportional to 3,071.77, 4,604 and 1,770.55

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Solution

The fourth proportional to 3,071.77, 4,604 and 1,770.55 is: 2,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.77 : 4,604 = 1,770.55 : x
  2. Step 2: Convert to fraction form
    3,071.77/4,604 = 1,770.55/x
  3. Step 3: Cross multiply
    3,071.77x = 4,604 × 1,770.55
  4. Step 4: Simplify right side
    3,071.77x = 8,151,589.18
  5. Step 5: Solve for x
    x = 8,151,589.18/3,071.77
  6. Step 6: Final answer
    x = 2,653.72

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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.