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Finding the Fourth Proportional to 14,643.89, 20,208.62 and 7,929.59

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Solution

The fourth proportional to 14,643.89, 20,208.62 and 7,929.59 is: 10,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.89 : 20,208.62 = 7,929.59 : x
  2. Step 2: Convert to fraction form
    14,643.89/20,208.62 = 7,929.59/x
  3. Step 3: Cross multiply
    14,643.89x = 20,208.62 × 7,929.59
  4. Step 4: Simplify right side
    14,643.89x = 160,246,031.42
  5. Step 5: Solve for x
    x = 160,246,031.42/14,643.89
  6. Step 6: Final answer
    x = 10,942.86

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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.