Home / 2,823.13-3,895.91-1,564.19

Finding the Fourth Proportional to 2,823.13, 3,895.91 and 1,564.19

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Solution

The fourth proportional to 2,823.13, 3,895.91 and 1,564.19 is: 2,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.13 : 3,895.91 = 1,564.19 : x
  2. Step 2: Convert to fraction form
    2,823.13/3,895.91 = 1,564.19/x
  3. Step 3: Cross multiply
    2,823.13x = 3,895.91 × 1,564.19
  4. Step 4: Simplify right side
    2,823.13x = 6,093,916.16
  5. Step 5: Solve for x
    x = 6,093,916.16/2,823.13
  6. Step 6: Final answer
    x = 2,158.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.