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Finding the Fourth Proportional to 35,214, 52,821.30 and 8,918.76

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Solution

The fourth proportional to 35,214, 52,821.30 and 8,918.76 is: 13,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214 : 52,821.30 = 8,918.76 : x
  2. Step 2: Convert to fraction form
    35,214/52,821.30 = 8,918.76/x
  3. Step 3: Cross multiply
    35,214x = 52,821.30 × 8,918.76
  4. Step 4: Simplify right side
    35,214x = 471,100,497.59
  5. Step 5: Solve for x
    x = 471,100,497.59/35,214
  6. Step 6: Final answer
    x = 13,378.22

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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.