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Finding the Fourth Proportional to 3,545.80, 4,892.97 and 1,973.86

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Solution

The fourth proportional to 3,545.80, 4,892.97 and 1,973.86 is: 2,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.80 : 4,892.97 = 1,973.86 : x
  2. Step 2: Convert to fraction form
    3,545.80/4,892.97 = 1,973.86/x
  3. Step 3: Cross multiply
    3,545.80x = 4,892.97 × 1,973.86
  4. Step 4: Simplify right side
    3,545.80x = 9,658,037.76
  5. Step 5: Solve for x
    x = 9,658,037.76/3,545.80
  6. Step 6: Final answer
    x = 2,723.80

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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.