Home / 1,565.78-2,159.35-1,005.26

Finding the Fourth Proportional to 1,565.78, 2,159.35 and 1,005.26

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Solution

The fourth proportional to 1,565.78, 2,159.35 and 1,005.26 is: 1,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.78 : 2,159.35 = 1,005.26 : x
  2. Step 2: Convert to fraction form
    1,565.78/2,159.35 = 1,005.26/x
  3. Step 3: Cross multiply
    1,565.78x = 2,159.35 × 1,005.26
  4. Step 4: Simplify right side
    1,565.78x = 2,170,694.87
  5. Step 5: Solve for x
    x = 2,170,694.87/1,565.78
  6. Step 6: Final answer
    x = 1,386.34

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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.