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Finding the Fourth Proportional to 3,177.84, 4,776.48 and 3,109.84

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Solution

The fourth proportional to 3,177.84, 4,776.48 and 3,109.84 is: 4,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.84 : 4,776.48 = 3,109.84 : x
  2. Step 2: Convert to fraction form
    3,177.84/4,776.48 = 3,109.84/x
  3. Step 3: Cross multiply
    3,177.84x = 4,776.48 × 3,109.84
  4. Step 4: Simplify right side
    3,177.84x = 14,854,088.56
  5. Step 5: Solve for x
    x = 14,854,088.56/3,177.84
  6. Step 6: Final answer
    x = 4,674.27

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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.