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Finding the Fourth Proportional to 4,569.82, 6,856.72 and 1,939.14

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Solution

The fourth proportional to 4,569.82, 6,856.72 and 1,939.14 is: 2,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.82 : 6,856.72 = 1,939.14 : x
  2. Step 2: Convert to fraction form
    4,569.82/6,856.72 = 1,939.14/x
  3. Step 3: Cross multiply
    4,569.82x = 6,856.72 × 1,939.14
  4. Step 4: Simplify right side
    4,569.82x = 13,296,135.17
  5. Step 5: Solve for x
    x = 13,296,135.17/4,569.82
  6. Step 6: Final answer
    x = 2,909.55

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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.