Home / 2,823.48-3,896.59-1,564.59

Finding the Fourth Proportional to 2,823.48, 3,896.59 and 1,564.59

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Solution

The fourth proportional to 2,823.48, 3,896.59 and 1,564.59 is: 2,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.48 : 3,896.59 = 1,564.59 : x
  2. Step 2: Convert to fraction form
    2,823.48/3,896.59 = 1,564.59/x
  3. Step 3: Cross multiply
    2,823.48x = 3,896.59 × 1,564.59
  4. Step 4: Simplify right side
    2,823.48x = 6,096,565.75
  5. Step 5: Solve for x
    x = 6,096,565.75/2,823.48
  6. Step 6: Final answer
    x = 2,159.24

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1.5x scale

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.