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Finding the Fourth Proportional to 2,856.81, 4,285.16 and 908.98

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Solution

The fourth proportional to 2,856.81, 4,285.16 and 908.98 is: 1,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.81 : 4,285.16 = 908.98 : x
  2. Step 2: Convert to fraction form
    2,856.81/4,285.16 = 908.98/x
  3. Step 3: Cross multiply
    2,856.81x = 4,285.16 × 908.98
  4. Step 4: Simplify right side
    2,856.81x = 3,895,124.74
  5. Step 5: Solve for x
    x = 3,895,124.74/2,856.81
  6. Step 6: Final answer
    x = 1,363.45

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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.