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Finding the Fourth Proportional to 2,361.40, 3,534.40 and 1,628.76

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Solution

The fourth proportional to 2,361.40, 3,534.40 and 1,628.76 is: 2,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.40 : 3,534.40 = 1,628.76 : x
  2. Step 2: Convert to fraction form
    2,361.40/3,534.40 = 1,628.76/x
  3. Step 3: Cross multiply
    2,361.40x = 3,534.40 × 1,628.76
  4. Step 4: Simplify right side
    2,361.40x = 5,756,689.34
  5. Step 5: Solve for x
    x = 5,756,689.34/2,361.40
  6. Step 6: Final answer
    x = 2,437.83

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1.5x scale

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.