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Finding the Fourth Proportional to 3,688.50, 5,090.13 and 2,032.50

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Solution

The fourth proportional to 3,688.50, 5,090.13 and 2,032.50 is: 2,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.50 : 5,090.13 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    3,688.50/5,090.13 = 2,032.50/x
  3. Step 3: Cross multiply
    3,688.50x = 5,090.13 × 2,032.50
  4. Step 4: Simplify right side
    3,688.50x = 10,345,689.23
  5. Step 5: Solve for x
    x = 10,345,689.23/3,688.50
  6. Step 6: Final answer
    x = 2,804.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.