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Finding the Fourth Proportional to 21,696.96, 29,941.12 and 12,264.96

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Solution

The fourth proportional to 21,696.96, 29,941.12 and 12,264.96 is: 16,925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.96 : 29,941.12 = 12,264.96 : x
  2. Step 2: Convert to fraction form
    21,696.96/29,941.12 = 12,264.96/x
  3. Step 3: Cross multiply
    21,696.96x = 29,941.12 × 12,264.96
  4. Step 4: Simplify right side
    21,696.96x = 367,226,639.16
  5. Step 5: Solve for x
    x = 367,226,639.16/21,696.96
  6. Step 6: Final answer
    x = 16,925.26

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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.