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Finding the Fourth Proportional to 35,878.42, 53,819.64 and 10,919.28

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Solution

The fourth proportional to 35,878.42, 53,819.64 and 10,919.28 is: 16,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.42 : 53,819.64 = 10,919.28 : x
  2. Step 2: Convert to fraction form
    35,878.42/53,819.64 = 10,919.28/x
  3. Step 3: Cross multiply
    35,878.42x = 53,819.64 × 10,919.28
  4. Step 4: Simplify right side
    35,878.42x = 587,671,718.66
  5. Step 5: Solve for x
    x = 587,671,718.66/35,878.42
  6. Step 6: Final answer
    x = 16,379.53

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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.