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Finding the Fourth Proportional to 35,359.13, 53,063.98 and 12,869.77

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Solution

The fourth proportional to 35,359.13, 53,063.98 and 12,869.77 is: 19,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,359.13 : 53,063.98 = 12,869.77 : x
  2. Step 2: Convert to fraction form
    35,359.13/53,063.98 = 12,869.77/x
  3. Step 3: Cross multiply
    35,359.13x = 53,063.98 × 12,869.77
  4. Step 4: Simplify right side
    35,359.13x = 682,921,217.88
  5. Step 5: Solve for x
    x = 682,921,217.88/35,359.13
  6. Step 6: Final answer
    x = 19,313.86

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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.