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Finding the Fourth Proportional to 30,490.33, 45,734.61 and 8,303.89

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Solution

The fourth proportional to 30,490.33, 45,734.61 and 8,303.89 is: 12,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.33 : 45,734.61 = 8,303.89 : x
  2. Step 2: Convert to fraction form
    30,490.33/45,734.61 = 8,303.89/x
  3. Step 3: Cross multiply
    30,490.33x = 45,734.61 × 8,303.89
  4. Step 4: Simplify right side
    30,490.33x = 379,775,129.11
  5. Step 5: Solve for x
    x = 379,775,129.11/30,490.33
  6. Step 6: Final answer
    x = 12,455.59

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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.