Home / 1,561.16-2,341.19-684.09

Finding the Fourth Proportional to 1,561.16, 2,341.19 and 684.09

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Solution

The fourth proportional to 1,561.16, 2,341.19 and 684.09 is: 1,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.16 : 2,341.19 = 684.09 : x
  2. Step 2: Convert to fraction form
    1,561.16/2,341.19 = 684.09/x
  3. Step 3: Cross multiply
    1,561.16x = 2,341.19 × 684.09
  4. Step 4: Simplify right side
    1,561.16x = 1,601,586.38
  5. Step 5: Solve for x
    x = 1,601,586.38/1,561.16
  6. Step 6: Final answer
    x = 1,025.89

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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.