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Finding the Fourth Proportional to 14,336, 21,500.28 and 6,434

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Solution

The fourth proportional to 14,336, 21,500.28 and 6,434 is: 9,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336 : 21,500.28 = 6,434 : x
  2. Step 2: Convert to fraction form
    14,336/21,500.28 = 6,434/x
  3. Step 3: Cross multiply
    14,336x = 21,500.28 × 6,434
  4. Step 4: Simplify right side
    14,336x = 138,332,801.52
  5. Step 5: Solve for x
    x = 138,332,801.52/14,336
  6. Step 6: Final answer
    x = 9,649.33

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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.