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Finding the Fourth Proportional to 10,267.60, 15,415.80 and 8,078.80

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Solution

The fourth proportional to 10,267.60, 15,415.80 and 8,078.80 is: 12,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.60 : 15,415.80 = 8,078.80 : x
  2. Step 2: Convert to fraction form
    10,267.60/15,415.80 = 8,078.80/x
  3. Step 3: Cross multiply
    10,267.60x = 15,415.80 × 8,078.80
  4. Step 4: Simplify right side
    10,267.60x = 124,541,165.04
  5. Step 5: Solve for x
    x = 124,541,165.04/10,267.60
  6. Step 6: Final answer
    x = 12,129.53

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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.