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Finding the Fourth Proportional to 1,730.52, 2,578.14 and 1,647.90

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Solution

The fourth proportional to 1,730.52, 2,578.14 and 1,647.90 is: 2,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.52 : 2,578.14 = 1,647.90 : x
  2. Step 2: Convert to fraction form
    1,730.52/2,578.14 = 1,647.90/x
  3. Step 3: Cross multiply
    1,730.52x = 2,578.14 × 1,647.90
  4. Step 4: Simplify right side
    1,730.52x = 4,248,516.91
  5. Step 5: Solve for x
    x = 4,248,516.91/1,730.52
  6. Step 6: Final answer
    x = 2,455.05

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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.