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Finding the Fourth Proportional to 6,783.60, 10,177.80 and 6,543.60

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Solution

The fourth proportional to 6,783.60, 10,177.80 and 6,543.60 is: 9,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.60 : 10,177.80 = 6,543.60 : x
  2. Step 2: Convert to fraction form
    6,783.60/10,177.80 = 6,543.60/x
  3. Step 3: Cross multiply
    6,783.60x = 10,177.80 × 6,543.60
  4. Step 4: Simplify right side
    6,783.60x = 66,599,452.08
  5. Step 5: Solve for x
    x = 66,599,452.08/6,783.60
  6. Step 6: Final answer
    x = 9,817.72

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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.