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Finding the Fourth Proportional to 2,681.85, 3,699.14 and 2,184.51

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Solution

The fourth proportional to 2,681.85, 3,699.14 and 2,184.51 is: 3,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.85 : 3,699.14 = 2,184.51 : x
  2. Step 2: Convert to fraction form
    2,681.85/3,699.14 = 2,184.51/x
  3. Step 3: Cross multiply
    2,681.85x = 3,699.14 × 2,184.51
  4. Step 4: Simplify right side
    2,681.85x = 8,080,797.40
  5. Step 5: Solve for x
    x = 8,080,797.40/2,681.85
  6. Step 6: Final answer
    x = 3,013.14

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1.5x scale

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.