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Finding the Fourth Proportional to 3,909.78, 5,864.93 and 1,444.77

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Solution

The fourth proportional to 3,909.78, 5,864.93 and 1,444.77 is: 2,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.78 : 5,864.93 = 1,444.77 : x
  2. Step 2: Convert to fraction form
    3,909.78/5,864.93 = 1,444.77/x
  3. Step 3: Cross multiply
    3,909.78x = 5,864.93 × 1,444.77
  4. Step 4: Simplify right side
    3,909.78x = 8,473,474.92
  5. Step 5: Solve for x
    x = 8,473,474.92/3,909.78
  6. Step 6: Final answer
    x = 2,167.25

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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.