Home / 1,701.12-2,538.96-1,564.32

Finding the Fourth Proportional to 1,701.12, 2,538.96 and 1,564.32

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Solution

The fourth proportional to 1,701.12, 2,538.96 and 1,564.32 is: 2,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.12 : 2,538.96 = 1,564.32 : x
  2. Step 2: Convert to fraction form
    1,701.12/2,538.96 = 1,564.32/x
  3. Step 3: Cross multiply
    1,701.12x = 2,538.96 × 1,564.32
  4. Step 4: Simplify right side
    1,701.12x = 3,971,745.91
  5. Step 5: Solve for x
    x = 3,971,745.91/1,701.12
  6. Step 6: Final answer
    x = 2,334.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.