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Finding the Fourth Proportional to 12,342.96, 17,041.14 and 7,629.96

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Solution

The fourth proportional to 12,342.96, 17,041.14 and 7,629.96 is: 10,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.96 : 17,041.14 = 7,629.96 : x
  2. Step 2: Convert to fraction form
    12,342.96/17,041.14 = 7,629.96/x
  3. Step 3: Cross multiply
    12,342.96x = 17,041.14 × 7,629.96
  4. Step 4: Simplify right side
    12,342.96x = 130,023,216.55
  5. Step 5: Solve for x
    x = 130,023,216.55/12,342.96
  6. Step 6: Final answer
    x = 10,534.20

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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.