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Finding the Fourth Proportional to 12,070.80, 16,657.92 and 6,765.60

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Solution

The fourth proportional to 12,070.80, 16,657.92 and 6,765.60 is: 9,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.80 : 16,657.92 = 6,765.60 : x
  2. Step 2: Convert to fraction form
    12,070.80/16,657.92 = 6,765.60/x
  3. Step 3: Cross multiply
    12,070.80x = 16,657.92 × 6,765.60
  4. Step 4: Simplify right side
    12,070.80x = 112,700,823.55
  5. Step 5: Solve for x
    x = 112,700,823.55/12,070.80
  6. Step 6: Final answer
    x = 9,336.65

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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.