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Finding the Fourth Proportional to 2,486, 3,730.20 and 948.08

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Solution

The fourth proportional to 2,486, 3,730.20 and 948.08 is: 1,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486 : 3,730.20 = 948.08 : x
  2. Step 2: Convert to fraction form
    2,486/3,730.20 = 948.08/x
  3. Step 3: Cross multiply
    2,486x = 3,730.20 × 948.08
  4. Step 4: Simplify right side
    2,486x = 3,536,528.02
  5. Step 5: Solve for x
    x = 3,536,528.02/2,486
  6. Step 6: Final answer
    x = 1,422.58

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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.