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Finding the Fourth Proportional to 13,602.94, 18,772.12 and 7,941.61

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Solution

The fourth proportional to 13,602.94, 18,772.12 and 7,941.61 is: 10,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.94 : 18,772.12 = 7,941.61 : x
  2. Step 2: Convert to fraction form
    13,602.94/18,772.12 = 7,941.61/x
  3. Step 3: Cross multiply
    13,602.94x = 18,772.12 × 7,941.61
  4. Step 4: Simplify right side
    13,602.94x = 149,080,889.31
  5. Step 5: Solve for x
    x = 149,080,889.31/13,602.94
  6. Step 6: Final answer
    x = 10,959.46

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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.