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Finding the Fourth Proportional to 2,732, 3,770.18 and 1,490

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Solution

The fourth proportional to 2,732, 3,770.18 and 1,490 is: 2,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732 : 3,770.18 = 1,490 : x
  2. Step 2: Convert to fraction form
    2,732/3,770.18 = 1,490/x
  3. Step 3: Cross multiply
    2,732x = 3,770.18 × 1,490
  4. Step 4: Simplify right side
    2,732x = 5,617,568.20
  5. Step 5: Solve for x
    x = 5,617,568.20/2,732
  6. Step 6: Final answer
    x = 2,056.21

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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.