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Finding the Fourth Proportional to 2,710.84, 3,739.62 and 1,872.40

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Solution

The fourth proportional to 2,710.84, 3,739.62 and 1,872.40 is: 2,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.84 : 3,739.62 = 1,872.40 : x
  2. Step 2: Convert to fraction form
    2,710.84/3,739.62 = 1,872.40/x
  3. Step 3: Cross multiply
    2,710.84x = 3,739.62 × 1,872.40
  4. Step 4: Simplify right side
    2,710.84x = 7,002,064.49
  5. Step 5: Solve for x
    x = 7,002,064.49/2,710.84
  6. Step 6: Final answer
    x = 2,582.99

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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.