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Finding the Fourth Proportional to 1,710.40, 2,361.68 and 1,380.40

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Solution

The fourth proportional to 1,710.40, 2,361.68 and 1,380.40 is: 1,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.40 : 2,361.68 = 1,380.40 : x
  2. Step 2: Convert to fraction form
    1,710.40/2,361.68 = 1,380.40/x
  3. Step 3: Cross multiply
    1,710.40x = 2,361.68 × 1,380.40
  4. Step 4: Simplify right side
    1,710.40x = 3,260,063.07
  5. Step 5: Solve for x
    x = 3,260,063.07/1,710.40
  6. Step 6: Final answer
    x = 1,906.02

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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.