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Finding the Fourth Proportional to 30,615.12, 45,919.44 and 9,837

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Solution

The fourth proportional to 30,615.12, 45,919.44 and 9,837 is: 14,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.12 : 45,919.44 = 9,837 : x
  2. Step 2: Convert to fraction form
    30,615.12/45,919.44 = 9,837/x
  3. Step 3: Cross multiply
    30,615.12x = 45,919.44 × 9,837
  4. Step 4: Simplify right side
    30,615.12x = 451,709,531.28
  5. Step 5: Solve for x
    x = 451,709,531.28/30,615.12
  6. Step 6: Final answer
    x = 14,754.46

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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.