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Finding the Fourth Proportional to 3,487.63, 5,232.12 and 1,407.82

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Solution

The fourth proportional to 3,487.63, 5,232.12 and 1,407.82 is: 2,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.63 : 5,232.12 = 1,407.82 : x
  2. Step 2: Convert to fraction form
    3,487.63/5,232.12 = 1,407.82/x
  3. Step 3: Cross multiply
    3,487.63x = 5,232.12 × 1,407.82
  4. Step 4: Simplify right side
    3,487.63x = 7,365,883.18
  5. Step 5: Solve for x
    x = 7,365,883.18/3,487.63
  6. Step 6: Final answer
    x = 2,112.00

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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.