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Finding the Fourth Proportional to 3,415.04, 4,712.08 and 2,089.08

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Solution

The fourth proportional to 3,415.04, 4,712.08 and 2,089.08 is: 2,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.04 : 4,712.08 = 2,089.08 : x
  2. Step 2: Convert to fraction form
    3,415.04/4,712.08 = 2,089.08/x
  3. Step 3: Cross multiply
    3,415.04x = 4,712.08 × 2,089.08
  4. Step 4: Simplify right side
    3,415.04x = 9,843,912.09
  5. Step 5: Solve for x
    x = 9,843,912.09/3,415.04
  6. Step 6: Final answer
    x = 2,882.52

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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.