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Finding the Fourth Proportional to 10,580.42, 15,809.90 and 8,067.80

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Solution

The fourth proportional to 10,580.42, 15,809.90 and 8,067.80 is: 12,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.42 : 15,809.90 = 8,067.80 : x
  2. Step 2: Convert to fraction form
    10,580.42/15,809.90 = 8,067.80/x
  3. Step 3: Cross multiply
    10,580.42x = 15,809.90 × 8,067.80
  4. Step 4: Simplify right side
    10,580.42x = 127,551,111.22
  5. Step 5: Solve for x
    x = 127,551,111.22/10,580.42
  6. Step 6: Final answer
    x = 12,055.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.