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Finding the Fourth Proportional to 12,855.86, 17,750.28 and 10,026.40

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Solution

The fourth proportional to 12,855.86, 17,750.28 and 10,026.40 is: 13,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.86 : 17,750.28 = 10,026.40 : x
  2. Step 2: Convert to fraction form
    12,855.86/17,750.28 = 10,026.40/x
  3. Step 3: Cross multiply
    12,855.86x = 17,750.28 × 10,026.40
  4. Step 4: Simplify right side
    12,855.86x = 177,971,400.62
  5. Step 5: Solve for x
    x = 177,971,400.62/12,855.86
  6. Step 6: Final answer
    x = 13,843.60

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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.