Home / 1,564.77-2,145.38-1,537.23

Finding the Fourth Proportional to 1,564.77, 2,145.38 and 1,537.23

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Solution

The fourth proportional to 1,564.77, 2,145.38 and 1,537.23 is: 2,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.77 : 2,145.38 = 1,537.23 : x
  2. Step 2: Convert to fraction form
    1,564.77/2,145.38 = 1,537.23/x
  3. Step 3: Cross multiply
    1,564.77x = 2,145.38 × 1,537.23
  4. Step 4: Simplify right side
    1,564.77x = 3,297,934.81
  5. Step 5: Solve for x
    x = 3,297,934.81/1,564.77
  6. Step 6: Final answer
    x = 2,107.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.