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Finding the Fourth Proportional to 21,065.64, 29,070.18 and 11,634

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Solution

The fourth proportional to 21,065.64, 29,070.18 and 11,634 is: 16,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.64 : 29,070.18 = 11,634 : x
  2. Step 2: Convert to fraction form
    21,065.64/29,070.18 = 11,634/x
  3. Step 3: Cross multiply
    21,065.64x = 29,070.18 × 11,634
  4. Step 4: Simplify right side
    21,065.64x = 338,202,474.12
  5. Step 5: Solve for x
    x = 338,202,474.12/21,065.64
  6. Step 6: Final answer
    x = 16,054.70

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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.