Home / 1,569.09-2,164.14-1,149.29

Finding the Fourth Proportional to 1,569.09, 2,164.14 and 1,149.29

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Solution

The fourth proportional to 1,569.09, 2,164.14 and 1,149.29 is: 1,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.09 : 2,164.14 = 1,149.29 : x
  2. Step 2: Convert to fraction form
    1,569.09/2,164.14 = 1,149.29/x
  3. Step 3: Cross multiply
    1,569.09x = 2,164.14 × 1,149.29
  4. Step 4: Simplify right side
    1,569.09x = 2,487,234.18
  5. Step 5: Solve for x
    x = 2,487,234.18/1,569.09
  6. Step 6: Final answer
    x = 1,585.14

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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.