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Finding the Fourth Proportional to 10,453.78, 15,682.08 and 3,058.78

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Solution

The fourth proportional to 10,453.78, 15,682.08 and 3,058.78 is: 4,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.78 : 15,682.08 = 3,058.78 : x
  2. Step 2: Convert to fraction form
    10,453.78/15,682.08 = 3,058.78/x
  3. Step 3: Cross multiply
    10,453.78x = 15,682.08 × 3,058.78
  4. Step 4: Simplify right side
    10,453.78x = 47,968,032.66
  5. Step 5: Solve for x
    x = 47,968,032.66/10,453.78
  6. Step 6: Final answer
    x = 4,588.58

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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.