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Finding the Fourth Proportional to 19,426, 29,143.86 and 8,327.20

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Solution

The fourth proportional to 19,426, 29,143.86 and 8,327.20 is: 12,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,426 : 29,143.86 = 8,327.20 : x
  2. Step 2: Convert to fraction form
    19,426/29,143.86 = 8,327.20/x
  3. Step 3: Cross multiply
    19,426x = 29,143.86 × 8,327.20
  4. Step 4: Simplify right side
    19,426x = 242,686,750.99
  5. Step 5: Solve for x
    x = 242,686,750.99/19,426
  6. Step 6: Final answer
    x = 12,492.88

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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.