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Finding the Fourth Proportional to 2,648.77, 3,656.95 and 1,704.92

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Solution

The fourth proportional to 2,648.77, 3,656.95 and 1,704.92 is: 2,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.77 : 3,656.95 = 1,704.92 : x
  2. Step 2: Convert to fraction form
    2,648.77/3,656.95 = 1,704.92/x
  3. Step 3: Cross multiply
    2,648.77x = 3,656.95 × 1,704.92
  4. Step 4: Simplify right side
    2,648.77x = 6,234,784.65
  5. Step 5: Solve for x
    x = 6,234,784.65/2,648.77
  6. Step 6: Final answer
    x = 2,353.84

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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.