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Finding the Fourth Proportional to 7,730.08, 10,741.51 and 7,649.80

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Solution

The fourth proportional to 7,730.08, 10,741.51 and 7,649.80 is: 10,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.08 : 10,741.51 = 7,649.80 : x
  2. Step 2: Convert to fraction form
    7,730.08/10,741.51 = 7,649.80/x
  3. Step 3: Cross multiply
    7,730.08x = 10,741.51 × 7,649.80
  4. Step 4: Simplify right side
    7,730.08x = 82,170,403.20
  5. Step 5: Solve for x
    x = 82,170,403.20/7,730.08
  6. Step 6: Final answer
    x = 10,629.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.