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Finding the Fourth Proportional to 7,811.60, 10,783.80 and 6,129.20

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Solution

The fourth proportional to 7,811.60, 10,783.80 and 6,129.20 is: 8,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.60 : 10,783.80 = 6,129.20 : x
  2. Step 2: Convert to fraction form
    7,811.60/10,783.80 = 6,129.20/x
  3. Step 3: Cross multiply
    7,811.60x = 10,783.80 × 6,129.20
  4. Step 4: Simplify right side
    7,811.60x = 66,096,066.96
  5. Step 5: Solve for x
    x = 66,096,066.96/7,811.60
  6. Step 6: Final answer
    x = 8,461.27

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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.