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Finding the Fourth Proportional to 14,597, 20,143.86 and 7,973

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Solution

The fourth proportional to 14,597, 20,143.86 and 7,973 is: 11,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597 : 20,143.86 = 7,973 : x
  2. Step 2: Convert to fraction form
    14,597/20,143.86 = 7,973/x
  3. Step 3: Cross multiply
    14,597x = 20,143.86 × 7,973
  4. Step 4: Simplify right side
    14,597x = 160,606,995.78
  5. Step 5: Solve for x
    x = 160,606,995.78/14,597
  6. Step 6: Final answer
    x = 11,002.74

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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.