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Finding the Fourth Proportional to 21,964, 30,310.32 and 12,028

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Solution

The fourth proportional to 21,964, 30,310.32 and 12,028 is: 16,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964 : 30,310.32 = 12,028 : x
  2. Step 2: Convert to fraction form
    21,964/30,310.32 = 12,028/x
  3. Step 3: Cross multiply
    21,964x = 30,310.32 × 12,028
  4. Step 4: Simplify right side
    21,964x = 364,572,528.96
  5. Step 5: Solve for x
    x = 364,572,528.96/21,964
  6. Step 6: Final answer
    x = 16,598.64

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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.