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Finding the Fourth Proportional to 35,054, 52,578 and 12,866.48

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Solution

The fourth proportional to 35,054, 52,578 and 12,866.48 is: 19,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,054 : 52,578 = 12,866.48 : x
  2. Step 2: Convert to fraction form
    35,054/52,578 = 12,866.48/x
  3. Step 3: Cross multiply
    35,054x = 52,578 × 12,866.48
  4. Step 4: Simplify right side
    35,054x = 676,493,785.44
  5. Step 5: Solve for x
    x = 676,493,785.44/35,054
  6. Step 6: Final answer
    x = 19,298.62

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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.