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Finding the Fourth Proportional to 15,899, 21,941.10 and 8,826.08

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Solution

The fourth proportional to 15,899, 21,941.10 and 8,826.08 is: 12,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899 : 21,941.10 = 8,826.08 : x
  2. Step 2: Convert to fraction form
    15,899/21,941.10 = 8,826.08/x
  3. Step 3: Cross multiply
    15,899x = 21,941.10 × 8,826.08
  4. Step 4: Simplify right side
    15,899x = 193,653,903.89
  5. Step 5: Solve for x
    x = 193,653,903.89/15,899
  6. Step 6: Final answer
    x = 12,180.26

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1.5x scale

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.