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Finding the Fourth Proportional to 21,215.71, 31,808.41 and 9,964.77

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Solution

The fourth proportional to 21,215.71, 31,808.41 and 9,964.77 is: 14,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215.71 : 31,808.41 = 9,964.77 : x
  2. Step 2: Convert to fraction form
    21,215.71/31,808.41 = 9,964.77/x
  3. Step 3: Cross multiply
    21,215.71x = 31,808.41 × 9,964.77
  4. Step 4: Simplify right side
    21,215.71x = 316,963,489.72
  5. Step 5: Solve for x
    x = 316,963,489.72/21,215.71
  6. Step 6: Final answer
    x = 14,940.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.