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Finding the Fourth Proportional to 2,475, 3,415.90 and 1,426.88

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Solution

The fourth proportional to 2,475, 3,415.90 and 1,426.88 is: 1,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475 : 3,415.90 = 1,426.88 : x
  2. Step 2: Convert to fraction form
    2,475/3,415.90 = 1,426.88/x
  3. Step 3: Cross multiply
    2,475x = 3,415.90 × 1,426.88
  4. Step 4: Simplify right side
    2,475x = 4,874,079.39
  5. Step 5: Solve for x
    x = 4,874,079.39/2,475
  6. Step 6: Final answer
    x = 1,969.33

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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.