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Finding the Fourth Proportional to 3,486.93, 5,230.77 and 1,021.77

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Solution

The fourth proportional to 3,486.93, 5,230.77 and 1,021.77 is: 1,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.93 : 5,230.77 = 1,021.77 : x
  2. Step 2: Convert to fraction form
    3,486.93/5,230.77 = 1,021.77/x
  3. Step 3: Cross multiply
    3,486.93x = 5,230.77 × 1,021.77
  4. Step 4: Simplify right side
    3,486.93x = 5,344,643.86
  5. Step 5: Solve for x
    x = 5,344,643.86/3,486.93
  6. Step 6: Final answer
    x = 1,532.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.