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Finding the Fourth Proportional to 1,737.36, 2,606.40 and 1,411.92

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Solution

The fourth proportional to 1,737.36, 2,606.40 and 1,411.92 is: 2,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.36 : 2,606.40 = 1,411.92 : x
  2. Step 2: Convert to fraction form
    1,737.36/2,606.40 = 1,411.92/x
  3. Step 3: Cross multiply
    1,737.36x = 2,606.40 × 1,411.92
  4. Step 4: Simplify right side
    1,737.36x = 3,680,028.29
  5. Step 5: Solve for x
    x = 3,680,028.29/1,737.36
  6. Step 6: Final answer
    x = 2,118.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.