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Finding the Fourth Proportional to 8,300.29, 11,465.58 and 7,709.80

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Solution

The fourth proportional to 8,300.29, 11,465.58 and 7,709.80 is: 10,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.29 : 11,465.58 = 7,709.80 : x
  2. Step 2: Convert to fraction form
    8,300.29/11,465.58 = 7,709.80/x
  3. Step 3: Cross multiply
    8,300.29x = 11,465.58 × 7,709.80
  4. Step 4: Simplify right side
    8,300.29x = 88,397,328.68
  5. Step 5: Solve for x
    x = 88,397,328.68/8,300.29
  6. Step 6: Final answer
    x = 10,649.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.