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Finding the Fourth Proportional to 35,104.63, 52,664 and 12,918.12

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Solution

The fourth proportional to 35,104.63, 52,664 and 12,918.12 is: 19,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,104.63 : 52,664 = 12,918.12 : x
  2. Step 2: Convert to fraction form
    35,104.63/52,664 = 12,918.12/x
  3. Step 3: Cross multiply
    35,104.63x = 52,664 × 12,918.12
  4. Step 4: Simplify right side
    35,104.63x = 680,319,871.68
  5. Step 5: Solve for x
    x = 680,319,871.68/35,104.63
  6. Step 6: Final answer
    x = 19,379.78

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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.