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Finding the Fourth Proportional to 21,193.92, 31,780.08 and 8,036.28

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Solution

The fourth proportional to 21,193.92, 31,780.08 and 8,036.28 is: 12,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.92 : 31,780.08 = 8,036.28 : x
  2. Step 2: Convert to fraction form
    21,193.92/31,780.08 = 8,036.28/x
  3. Step 3: Cross multiply
    21,193.92x = 31,780.08 × 8,036.28
  4. Step 4: Simplify right side
    21,193.92x = 255,393,621.30
  5. Step 5: Solve for x
    x = 255,393,621.30/21,193.92
  6. Step 6: Final answer
    x = 12,050.32

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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.