Home / 1,565.66-2,146.40-1,538.04

Finding the Fourth Proportional to 1,565.66, 2,146.40 and 1,538.04

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Solution

The fourth proportional to 1,565.66, 2,146.40 and 1,538.04 is: 2,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.66 : 2,146.40 = 1,538.04 : x
  2. Step 2: Convert to fraction form
    1,565.66/2,146.40 = 1,538.04/x
  3. Step 3: Cross multiply
    1,565.66x = 2,146.40 × 1,538.04
  4. Step 4: Simplify right side
    1,565.66x = 3,301,249.06
  5. Step 5: Solve for x
    x = 3,301,249.06/1,565.66
  6. Step 6: Final answer
    x = 2,108.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.