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Finding the Fourth Proportional to 21,205.32, 31,803.66 and 8,053.08

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Solution

The fourth proportional to 21,205.32, 31,803.66 and 8,053.08 is: 12,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.32 : 31,803.66 = 8,053.08 : x
  2. Step 2: Convert to fraction form
    21,205.32/31,803.66 = 8,053.08/x
  3. Step 3: Cross multiply
    21,205.32x = 31,803.66 × 8,053.08
  4. Step 4: Simplify right side
    21,205.32x = 256,117,418.27
  5. Step 5: Solve for x
    x = 256,117,418.27/21,205.32
  6. Step 6: Final answer
    x = 12,077.98

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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.