Home / 1,565.57-2,159.51-1,006.77

Finding the Fourth Proportional to 1,565.57, 2,159.51 and 1,006.77

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Solution

The fourth proportional to 1,565.57, 2,159.51 and 1,006.77 is: 1,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.57 : 2,159.51 = 1,006.77 : x
  2. Step 2: Convert to fraction form
    1,565.57/2,159.51 = 1,006.77/x
  3. Step 3: Cross multiply
    1,565.57x = 2,159.51 × 1,006.77
  4. Step 4: Simplify right side
    1,565.57x = 2,174,132.40
  5. Step 5: Solve for x
    x = 2,174,132.40/1,565.57
  6. Step 6: Final answer
    x = 1,388.71

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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.