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Finding the Fourth Proportional to 2,494.84, 3,740.20 and 1,384.20

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Solution

The fourth proportional to 2,494.84, 3,740.20 and 1,384.20 is: 2,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.84 : 3,740.20 = 1,384.20 : x
  2. Step 2: Convert to fraction form
    2,494.84/3,740.20 = 1,384.20/x
  3. Step 3: Cross multiply
    2,494.84x = 3,740.20 × 1,384.20
  4. Step 4: Simplify right side
    2,494.84x = 5,177,184.84
  5. Step 5: Solve for x
    x = 5,177,184.84/2,494.84
  6. Step 6: Final answer
    x = 2,075.16

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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.