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Finding the Fourth Proportional to 3,672.65, 5,070.12 and 2,415.53

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Solution

The fourth proportional to 3,672.65, 5,070.12 and 2,415.53 is: 3,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.65 : 5,070.12 = 2,415.53 : x
  2. Step 2: Convert to fraction form
    3,672.65/5,070.12 = 2,415.53/x
  3. Step 3: Cross multiply
    3,672.65x = 5,070.12 × 2,415.53
  4. Step 4: Simplify right side
    3,672.65x = 12,247,026.96
  5. Step 5: Solve for x
    x = 12,247,026.96/3,672.65
  6. Step 6: Final answer
    x = 3,334.66

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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.