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Finding the Fourth Proportional to 3,605.61, 5,411.48 and 1,415.87

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Solution

The fourth proportional to 3,605.61, 5,411.48 and 1,415.87 is: 2,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.61 : 5,411.48 = 1,415.87 : x
  2. Step 2: Convert to fraction form
    3,605.61/5,411.48 = 1,415.87/x
  3. Step 3: Cross multiply
    3,605.61x = 5,411.48 × 1,415.87
  4. Step 4: Simplify right side
    3,605.61x = 7,661,918.05
  5. Step 5: Solve for x
    x = 7,661,918.05/3,605.61
  6. Step 6: Final answer
    x = 2,125.00

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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.