Home / 2,564.96-3,538.87-1,569.20

Finding the Fourth Proportional to 2,564.96, 3,538.87 and 1,569.20

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Solution

The fourth proportional to 2,564.96, 3,538.87 and 1,569.20 is: 2,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.96 : 3,538.87 = 1,569.20 : x
  2. Step 2: Convert to fraction form
    2,564.96/3,538.87 = 1,569.20/x
  3. Step 3: Cross multiply
    2,564.96x = 3,538.87 × 1,569.20
  4. Step 4: Simplify right side
    2,564.96x = 5,553,173.19
  5. Step 5: Solve for x
    x = 5,553,173.19/2,564.96
  6. Step 6: Final answer
    x = 2,165.02

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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.