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Finding the Fourth Proportional to 30,503.62, 45,754.07 and 8,317

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Solution

The fourth proportional to 30,503.62, 45,754.07 and 8,317 is: 12,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503.62 : 45,754.07 = 8,317 : x
  2. Step 2: Convert to fraction form
    30,503.62/45,754.07 = 8,317/x
  3. Step 3: Cross multiply
    30,503.62x = 45,754.07 × 8,317
  4. Step 4: Simplify right side
    30,503.62x = 380,536,600.19
  5. Step 5: Solve for x
    x = 380,536,600.19/30,503.62
  6. Step 6: Final answer
    x = 12,475.13

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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.