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Finding the Fourth Proportional to 30,443.68, 45,665.40 and 8,257

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Solution

The fourth proportional to 30,443.68, 45,665.40 and 8,257 is: 12,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.68 : 45,665.40 = 8,257 : x
  2. Step 2: Convert to fraction form
    30,443.68/45,665.40 = 8,257/x
  3. Step 3: Cross multiply
    30,443.68x = 45,665.40 × 8,257
  4. Step 4: Simplify right side
    30,443.68x = 377,059,207.80
  5. Step 5: Solve for x
    x = 377,059,207.80/30,443.68
  6. Step 6: Final answer
    x = 12,385.47

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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.