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Finding the Fourth Proportional to 21,714.36, 29,966.42 and 12,284.36

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Solution

The fourth proportional to 21,714.36, 29,966.42 and 12,284.36 is: 16,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.36 : 29,966.42 = 12,284.36 : x
  2. Step 2: Convert to fraction form
    21,714.36/29,966.42 = 12,284.36/x
  3. Step 3: Cross multiply
    21,714.36x = 29,966.42 × 12,284.36
  4. Step 4: Simplify right side
    21,714.36x = 368,118,291.19
  5. Step 5: Solve for x
    x = 368,118,291.19/21,714.36
  6. Step 6: Final answer
    x = 16,952.76

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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.