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Finding the Fourth Proportional to 12,062, 18,070.50 and 7,116.95

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Solution

The fourth proportional to 12,062, 18,070.50 and 7,116.95 is: 10,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,062 : 18,070.50 = 7,116.95 : x
  2. Step 2: Convert to fraction form
    12,062/18,070.50 = 7,116.95/x
  3. Step 3: Cross multiply
    12,062x = 18,070.50 × 7,116.95
  4. Step 4: Simplify right side
    12,062x = 128,606,844.98
  5. Step 5: Solve for x
    x = 128,606,844.98/12,062
  6. Step 6: Final answer
    x = 10,662.15

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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.