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Finding the Fourth Proportional to 5,590.28, 8,386.62 and 1,695

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Solution

The fourth proportional to 5,590.28, 8,386.62 and 1,695 is: 2,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.28 : 8,386.62 = 1,695 : x
  2. Step 2: Convert to fraction form
    5,590.28/8,386.62 = 1,695/x
  3. Step 3: Cross multiply
    5,590.28x = 8,386.62 × 1,695
  4. Step 4: Simplify right side
    5,590.28x = 14,215,320.90
  5. Step 5: Solve for x
    x = 14,215,320.90/5,590.28
  6. Step 6: Final answer
    x = 2,542.86

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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.