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Finding the Fourth Proportional to 12,825.66, 17,697.66 and 7,790.94

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Solution

The fourth proportional to 12,825.66, 17,697.66 and 7,790.94 is: 10,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.66 : 17,697.66 = 7,790.94 : x
  2. Step 2: Convert to fraction form
    12,825.66/17,697.66 = 7,790.94/x
  3. Step 3: Cross multiply
    12,825.66x = 17,697.66 × 7,790.94
  4. Step 4: Simplify right side
    12,825.66x = 137,881,407.20
  5. Step 5: Solve for x
    x = 137,881,407.20/12,825.66
  6. Step 6: Final answer
    x = 10,750.43

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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.