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Finding the Fourth Proportional to 1,551.11, 2,323.73 and 856.74

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Solution

The fourth proportional to 1,551.11, 2,323.73 and 856.74 is: 1,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.11 : 2,323.73 = 856.74 : x
  2. Step 2: Convert to fraction form
    1,551.11/2,323.73 = 856.74/x
  3. Step 3: Cross multiply
    1,551.11x = 2,323.73 × 856.74
  4. Step 4: Simplify right side
    1,551.11x = 1,990,832.44
  5. Step 5: Solve for x
    x = 1,990,832.44/1,551.11
  6. Step 6: Final answer
    x = 1,283.49

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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.