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Finding the Fourth Proportional to 2,486.47, 3,730.20 and 926.48

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Solution

The fourth proportional to 2,486.47, 3,730.20 and 926.48 is: 1,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.47 : 3,730.20 = 926.48 : x
  2. Step 2: Convert to fraction form
    2,486.47/3,730.20 = 926.48/x
  3. Step 3: Cross multiply
    2,486.47x = 3,730.20 × 926.48
  4. Step 4: Simplify right side
    2,486.47x = 3,455,951.06
  5. Step 5: Solve for x
    x = 3,455,951.06/2,486.47
  6. Step 6: Final answer
    x = 1,389.91

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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.