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Finding the Fourth Proportional to 21,713, 29,963.94 and 12,281.36

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Solution

The fourth proportional to 21,713, 29,963.94 and 12,281.36 is: 16,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713 : 29,963.94 = 12,281.36 : x
  2. Step 2: Convert to fraction form
    21,713/29,963.94 = 12,281.36/x
  3. Step 3: Cross multiply
    21,713x = 29,963.94 × 12,281.36
  4. Step 4: Simplify right side
    21,713x = 367,997,934.16
  5. Step 5: Solve for x
    x = 367,997,934.16/21,713
  6. Step 6: Final answer
    x = 16,948.28

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1.5x scale

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.