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Finding the Fourth Proportional to 1,578.66, 2,370.72 and 1,455.03

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Solution

The fourth proportional to 1,578.66, 2,370.72 and 1,455.03 is: 2,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.66 : 2,370.72 = 1,455.03 : x
  2. Step 2: Convert to fraction form
    1,578.66/2,370.72 = 1,455.03/x
  3. Step 3: Cross multiply
    1,578.66x = 2,370.72 × 1,455.03
  4. Step 4: Simplify right side
    1,578.66x = 3,449,468.72
  5. Step 5: Solve for x
    x = 3,449,468.72/1,578.66
  6. Step 6: Final answer
    x = 2,185.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.