Home / 2,314.02-3,471.28-854.40

Finding the Fourth Proportional to 2,314.02, 3,471.28 and 854.40

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Solution

The fourth proportional to 2,314.02, 3,471.28 and 854.40 is: 1,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.02 : 3,471.28 = 854.40 : x
  2. Step 2: Convert to fraction form
    2,314.02/3,471.28 = 854.40/x
  3. Step 3: Cross multiply
    2,314.02x = 3,471.28 × 854.40
  4. Step 4: Simplify right side
    2,314.02x = 2,965,861.63
  5. Step 5: Solve for x
    x = 2,965,861.63/2,314.02
  6. Step 6: Final answer
    x = 1,281.69

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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.