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Finding the Fourth Proportional to 7,885.60, 11,812.80 and 5,114.20

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Solution

The fourth proportional to 7,885.60, 11,812.80 and 5,114.20 is: 7,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.60 : 11,812.80 = 5,114.20 : x
  2. Step 2: Convert to fraction form
    7,885.60/11,812.80 = 5,114.20/x
  3. Step 3: Cross multiply
    7,885.60x = 11,812.80 × 5,114.20
  4. Step 4: Simplify right side
    7,885.60x = 60,413,021.76
  5. Step 5: Solve for x
    x = 60,413,021.76/7,885.60
  6. Step 6: Final answer
    x = 7,661.18

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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.