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Finding the Fourth Proportional to 2,487, 3,730.80 and 1,025.96

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Solution

The fourth proportional to 2,487, 3,730.80 and 1,025.96 is: 1,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487 : 3,730.80 = 1,025.96 : x
  2. Step 2: Convert to fraction form
    2,487/3,730.80 = 1,025.96/x
  3. Step 3: Cross multiply
    2,487x = 3,730.80 × 1,025.96
  4. Step 4: Simplify right side
    2,487x = 3,827,651.57
  5. Step 5: Solve for x
    x = 3,827,651.57/2,487
  6. Step 6: Final answer
    x = 1,539.06

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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.