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Finding the Fourth Proportional to 2,378.92, 3,283 and 1,330.98

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Solution

The fourth proportional to 2,378.92, 3,283 and 1,330.98 is: 1,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.92 : 3,283 = 1,330.98 : x
  2. Step 2: Convert to fraction form
    2,378.92/3,283 = 1,330.98/x
  3. Step 3: Cross multiply
    2,378.92x = 3,283 × 1,330.98
  4. Step 4: Simplify right side
    2,378.92x = 4,369,607.34
  5. Step 5: Solve for x
    x = 4,369,607.34/2,378.92
  6. Step 6: Final answer
    x = 1,836.80

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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.