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Finding the Fourth Proportional to 14,135.58, 21,203.38 and 8,289

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Solution

The fourth proportional to 14,135.58, 21,203.38 and 8,289 is: 12,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.58 : 21,203.38 = 8,289 : x
  2. Step 2: Convert to fraction form
    14,135.58/21,203.38 = 8,289/x
  3. Step 3: Cross multiply
    14,135.58x = 21,203.38 × 8,289
  4. Step 4: Simplify right side
    14,135.58x = 175,754,816.82
  5. Step 5: Solve for x
    x = 175,754,816.82/14,135.58
  6. Step 6: Final answer
    x = 12,433.51

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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.