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Finding the Fourth Proportional to 21,195.84, 31,784.12 and 8,038.88

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Solution

The fourth proportional to 21,195.84, 31,784.12 and 8,038.88 is: 12,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.84 : 31,784.12 = 8,038.88 : x
  2. Step 2: Convert to fraction form
    21,195.84/31,784.12 = 8,038.88/x
  3. Step 3: Cross multiply
    21,195.84x = 31,784.12 × 8,038.88
  4. Step 4: Simplify right side
    21,195.84x = 255,508,726.59
  5. Step 5: Solve for x
    x = 255,508,726.59/21,195.84
  6. Step 6: Final answer
    x = 12,054.66

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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.