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Finding the Fourth Proportional to 13,960.86, 20,941.77 and 7,031.58

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Solution

The fourth proportional to 13,960.86, 20,941.77 and 7,031.58 is: 10,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.86 : 20,941.77 = 7,031.58 : x
  2. Step 2: Convert to fraction form
    13,960.86/20,941.77 = 7,031.58/x
  3. Step 3: Cross multiply
    13,960.86x = 20,941.77 × 7,031.58
  4. Step 4: Simplify right side
    13,960.86x = 147,253,731.10
  5. Step 5: Solve for x
    x = 147,253,731.10/13,960.86
  6. Step 6: Final answer
    x = 10,547.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.