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Finding the Fourth Proportional to 7,669.60, 11,494.47 and 3,222.22

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Solution

The fourth proportional to 7,669.60, 11,494.47 and 3,222.22 is: 4,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.60 : 11,494.47 = 3,222.22 : x
  2. Step 2: Convert to fraction form
    7,669.60/11,494.47 = 3,222.22/x
  3. Step 3: Cross multiply
    7,669.60x = 11,494.47 × 3,222.22
  4. Step 4: Simplify right side
    7,669.60x = 37,037,711.12
  5. Step 5: Solve for x
    x = 37,037,711.12/7,669.60
  6. Step 6: Final answer
    x = 4,829.16

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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.