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Finding the Fourth Proportional to 12,732, 19,102.86 and 4,941.42

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Solution

The fourth proportional to 12,732, 19,102.86 and 4,941.42 is: 7,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732 : 19,102.86 = 4,941.42 : x
  2. Step 2: Convert to fraction form
    12,732/19,102.86 = 4,941.42/x
  3. Step 3: Cross multiply
    12,732x = 19,102.86 × 4,941.42
  4. Step 4: Simplify right side
    12,732x = 94,395,254.46
  5. Step 5: Solve for x
    x = 94,395,254.46/12,732
  6. Step 6: Final answer
    x = 7,414.02

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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.