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Finding the Fourth Proportional to 35,863, 53,802.80 and 12,169.28

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Solution

The fourth proportional to 35,863, 53,802.80 and 12,169.28 is: 18,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,863 : 53,802.80 = 12,169.28 : x
  2. Step 2: Convert to fraction form
    35,863/53,802.80 = 12,169.28/x
  3. Step 3: Cross multiply
    35,863x = 53,802.80 × 12,169.28
  4. Step 4: Simplify right side
    35,863x = 654,741,337.98
  5. Step 5: Solve for x
    x = 654,741,337.98/35,863
  6. Step 6: Final answer
    x = 18,256.74

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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.