Home / 1,698.12-2,343.56-1,565.78

Finding the Fourth Proportional to 1,698.12, 2,343.56 and 1,565.78

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Solution

The fourth proportional to 1,698.12, 2,343.56 and 1,565.78 is: 2,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.12 : 2,343.56 = 1,565.78 : x
  2. Step 2: Convert to fraction form
    1,698.12/2,343.56 = 1,565.78/x
  3. Step 3: Cross multiply
    1,698.12x = 2,343.56 × 1,565.78
  4. Step 4: Simplify right side
    1,698.12x = 3,669,479.83
  5. Step 5: Solve for x
    x = 3,669,479.83/1,698.12
  6. Step 6: Final answer
    x = 2,160.91

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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.