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Finding the Fourth Proportional to 12,058.53, 16,642.77 and 8,278.60

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Solution

The fourth proportional to 12,058.53, 16,642.77 and 8,278.60 is: 11,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.53 : 16,642.77 = 8,278.60 : x
  2. Step 2: Convert to fraction form
    12,058.53/16,642.77 = 8,278.60/x
  3. Step 3: Cross multiply
    12,058.53x = 16,642.77 × 8,278.60
  4. Step 4: Simplify right side
    12,058.53x = 137,778,835.72
  5. Step 5: Solve for x
    x = 137,778,835.72/12,058.53
  6. Step 6: Final answer
    x = 11,425.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.