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Finding the Fourth Proportional to 2,486.80, 3,730.20 and 2,417.68

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Solution

The fourth proportional to 2,486.80, 3,730.20 and 2,417.68 is: 3,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.80 : 3,730.20 = 2,417.68 : x
  2. Step 2: Convert to fraction form
    2,486.80/3,730.20 = 2,417.68/x
  3. Step 3: Cross multiply
    2,486.80x = 3,730.20 × 2,417.68
  4. Step 4: Simplify right side
    2,486.80x = 9,018,429.94
  5. Step 5: Solve for x
    x = 9,018,429.94/2,486.80
  6. Step 6: Final answer
    x = 3,626.52

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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.