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Finding the Fourth Proportional to 2,154.72, 3,232.10 and 856.19

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Solution

The fourth proportional to 2,154.72, 3,232.10 and 856.19 is: 1,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.72 : 3,232.10 = 856.19 : x
  2. Step 2: Convert to fraction form
    2,154.72/3,232.10 = 856.19/x
  3. Step 3: Cross multiply
    2,154.72x = 3,232.10 × 856.19
  4. Step 4: Simplify right side
    2,154.72x = 2,767,291.70
  5. Step 5: Solve for x
    x = 2,767,291.70/2,154.72
  6. Step 6: Final answer
    x = 1,284.29

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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.