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Finding the Fourth Proportional to 2,611.48, 3,916.80 and 856.46

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Solution

The fourth proportional to 2,611.48, 3,916.80 and 856.46 is: 1,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.48 : 3,916.80 = 856.46 : x
  2. Step 2: Convert to fraction form
    2,611.48/3,916.80 = 856.46/x
  3. Step 3: Cross multiply
    2,611.48x = 3,916.80 × 856.46
  4. Step 4: Simplify right side
    2,611.48x = 3,354,582.53
  5. Step 5: Solve for x
    x = 3,354,582.53/2,611.48
  6. Step 6: Final answer
    x = 1,284.55

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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.