Home / 1,569.30-2,164.16-1,008.78

Finding the Fourth Proportional to 1,569.30, 2,164.16 and 1,008.78

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Solution

The fourth proportional to 1,569.30, 2,164.16 and 1,008.78 is: 1,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.30 : 2,164.16 = 1,008.78 : x
  2. Step 2: Convert to fraction form
    1,569.30/2,164.16 = 1,008.78/x
  3. Step 3: Cross multiply
    1,569.30x = 2,164.16 × 1,008.78
  4. Step 4: Simplify right side
    1,569.30x = 2,183,161.32
  5. Step 5: Solve for x
    x = 2,183,161.32/1,569.30
  6. Step 6: Final answer
    x = 1,391.17

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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.