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Finding the Fourth Proportional to 30,254.50, 45,381.75 and 9,478

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Solution

The fourth proportional to 30,254.50, 45,381.75 and 9,478 is: 14,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.50 : 45,381.75 = 9,478 : x
  2. Step 2: Convert to fraction form
    30,254.50/45,381.75 = 9,478/x
  3. Step 3: Cross multiply
    30,254.50x = 45,381.75 × 9,478
  4. Step 4: Simplify right side
    30,254.50x = 430,128,226.50
  5. Step 5: Solve for x
    x = 430,128,226.50/30,254.50
  6. Step 6: Final answer
    x = 14,217

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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.