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Finding the Fourth Proportional to 30,284.50, 45,427.16 and 9,508

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Solution

The fourth proportional to 30,284.50, 45,427.16 and 9,508 is: 14,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.50 : 45,427.16 = 9,508 : x
  2. Step 2: Convert to fraction form
    30,284.50/45,427.16 = 9,508/x
  3. Step 3: Cross multiply
    30,284.50x = 45,427.16 × 9,508
  4. Step 4: Simplify right side
    30,284.50x = 431,921,437.28
  5. Step 5: Solve for x
    x = 431,921,437.28/30,284.50
  6. Step 6: Final answer
    x = 14,262.13

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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.