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Finding the Fourth Proportional to 9,303.36, 12,825.36 and 6,649.80

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Solution

The fourth proportional to 9,303.36, 12,825.36 and 6,649.80 is: 9,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.36 : 12,825.36 = 6,649.80 : x
  2. Step 2: Convert to fraction form
    9,303.36/12,825.36 = 6,649.80/x
  3. Step 3: Cross multiply
    9,303.36x = 12,825.36 × 6,649.80
  4. Step 4: Simplify right side
    9,303.36x = 85,286,078.93
  5. Step 5: Solve for x
    x = 85,286,078.93/9,303.36
  6. Step 6: Final answer
    x = 9,167.23

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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.