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Finding the Fourth Proportional to 1,787.87, 2,468.36 and 1,416.35

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Solution

The fourth proportional to 1,787.87, 2,468.36 and 1,416.35 is: 1,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.87 : 2,468.36 = 1,416.35 : x
  2. Step 2: Convert to fraction form
    1,787.87/2,468.36 = 1,416.35/x
  3. Step 3: Cross multiply
    1,787.87x = 2,468.36 × 1,416.35
  4. Step 4: Simplify right side
    1,787.87x = 3,496,061.69
  5. Step 5: Solve for x
    x = 3,496,061.69/1,787.87
  6. Step 6: Final answer
    x = 1,955.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.