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Finding the Fourth Proportional to 34,643.64, 51,934.28 and 12,451.80

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Solution

The fourth proportional to 34,643.64, 51,934.28 and 12,451.80 is: 18,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643.64 : 51,934.28 = 12,451.80 : x
  2. Step 2: Convert to fraction form
    34,643.64/51,934.28 = 12,451.80/x
  3. Step 3: Cross multiply
    34,643.64x = 51,934.28 × 12,451.80
  4. Step 4: Simplify right side
    34,643.64x = 646,675,267.70
  5. Step 5: Solve for x
    x = 646,675,267.70/34,643.64
  6. Step 6: Final answer
    x = 18,666.49

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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.