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Finding the Fourth Proportional to 2,657.94, 3,670.11 and 2,377.68

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Solution

The fourth proportional to 2,657.94, 3,670.11 and 2,377.68 is: 3,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.94 : 3,670.11 = 2,377.68 : x
  2. Step 2: Convert to fraction form
    2,657.94/3,670.11 = 2,377.68/x
  3. Step 3: Cross multiply
    2,657.94x = 3,670.11 × 2,377.68
  4. Step 4: Simplify right side
    2,657.94x = 8,726,347.14
  5. Step 5: Solve for x
    x = 8,726,347.14/2,657.94
  6. Step 6: Final answer
    x = 3,283.12

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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.