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Finding the Fourth Proportional to 3,606.77, 5,407.65 and 1,415.72

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Solution

The fourth proportional to 3,606.77, 5,407.65 and 1,415.72 is: 2,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.77 : 5,407.65 = 1,415.72 : x
  2. Step 2: Convert to fraction form
    3,606.77/5,407.65 = 1,415.72/x
  3. Step 3: Cross multiply
    3,606.77x = 5,407.65 × 1,415.72
  4. Step 4: Simplify right side
    3,606.77x = 7,655,691.22
  5. Step 5: Solve for x
    x = 7,655,691.22/3,606.77
  6. Step 6: Final answer
    x = 2,122.59

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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.