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Finding the Fourth Proportional to 7,767.69, 10,649.46 and 7,627.80

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Solution

The fourth proportional to 7,767.69, 10,649.46 and 7,627.80 is: 10,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.69 : 10,649.46 = 7,627.80 : x
  2. Step 2: Convert to fraction form
    7,767.69/10,649.46 = 7,627.80/x
  3. Step 3: Cross multiply
    7,767.69x = 10,649.46 × 7,627.80
  4. Step 4: Simplify right side
    7,767.69x = 81,231,950.99
  5. Step 5: Solve for x
    x = 81,231,950.99/7,767.69
  6. Step 6: Final answer
    x = 10,457.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.