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Finding the Fourth Proportional to 7,851.60, 11,779.56 and 6,213.60

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Solution

The fourth proportional to 7,851.60, 11,779.56 and 6,213.60 is: 9,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.60 : 11,779.56 = 6,213.60 : x
  2. Step 2: Convert to fraction form
    7,851.60/11,779.56 = 6,213.60/x
  3. Step 3: Cross multiply
    7,851.60x = 11,779.56 × 6,213.60
  4. Step 4: Simplify right side
    7,851.60x = 73,193,474.02
  5. Step 5: Solve for x
    x = 73,193,474.02/7,851.60
  6. Step 6: Final answer
    x = 9,322.11

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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.