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Finding the Fourth Proportional to 1,856.93, 2,784.13 and 883.13

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Solution

The fourth proportional to 1,856.93, 2,784.13 and 883.13 is: 1,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.93 : 2,784.13 = 883.13 : x
  2. Step 2: Convert to fraction form
    1,856.93/2,784.13 = 883.13/x
  3. Step 3: Cross multiply
    1,856.93x = 2,784.13 × 883.13
  4. Step 4: Simplify right side
    1,856.93x = 2,458,732.60
  5. Step 5: Solve for x
    x = 2,458,732.60/1,856.93
  6. Step 6: Final answer
    x = 1,324.09

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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.