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Finding the Fourth Proportional to 3,730, 5,590.96 and 1,778.72

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Solution

The fourth proportional to 3,730, 5,590.96 and 1,778.72 is: 2,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730 : 5,590.96 = 1,778.72 : x
  2. Step 2: Convert to fraction form
    3,730/5,590.96 = 1,778.72/x
  3. Step 3: Cross multiply
    3,730x = 5,590.96 × 1,778.72
  4. Step 4: Simplify right side
    3,730x = 9,944,752.37
  5. Step 5: Solve for x
    x = 9,944,752.37/3,730
  6. Step 6: Final answer
    x = 2,666.15

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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.