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Finding the Fourth Proportional to 7,735.20, 11,602.80 and 6,892.80

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Solution

The fourth proportional to 7,735.20, 11,602.80 and 6,892.80 is: 10,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.20 : 11,602.80 = 6,892.80 : x
  2. Step 2: Convert to fraction form
    7,735.20/11,602.80 = 6,892.80/x
  3. Step 3: Cross multiply
    7,735.20x = 11,602.80 × 6,892.80
  4. Step 4: Simplify right side
    7,735.20x = 79,975,779.84
  5. Step 5: Solve for x
    x = 79,975,779.84/7,735.20
  6. Step 6: Final answer
    x = 10,339.20

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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.