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Finding the Fourth Proportional to 3,115, 4,297.68 and 1,770.46

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Solution

The fourth proportional to 3,115, 4,297.68 and 1,770.46 is: 2,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115 : 4,297.68 = 1,770.46 : x
  2. Step 2: Convert to fraction form
    3,115/4,297.68 = 1,770.46/x
  3. Step 3: Cross multiply
    3,115x = 4,297.68 × 1,770.46
  4. Step 4: Simplify right side
    3,115x = 7,608,870.53
  5. Step 5: Solve for x
    x = 7,608,870.53/3,115
  6. Step 6: Final answer
    x = 2,442.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.