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Finding the Fourth Proportional to 2,345.23, 3,516.81 and 883.36

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Solution

The fourth proportional to 2,345.23, 3,516.81 and 883.36 is: 1,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.23 : 3,516.81 = 883.36 : x
  2. Step 2: Convert to fraction form
    2,345.23/3,516.81 = 883.36/x
  3. Step 3: Cross multiply
    2,345.23x = 3,516.81 × 883.36
  4. Step 4: Simplify right side
    2,345.23x = 3,106,609.28
  5. Step 5: Solve for x
    x = 3,106,609.28/2,345.23
  6. Step 6: Final answer
    x = 1,324.65

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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.