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Finding the Fourth Proportional to 12,346.83, 18,506.88 and 4,947.48

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Solution

The fourth proportional to 12,346.83, 18,506.88 and 4,947.48 is: 7,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.83 : 18,506.88 = 4,947.48 : x
  2. Step 2: Convert to fraction form
    12,346.83/18,506.88 = 4,947.48/x
  3. Step 3: Cross multiply
    12,346.83x = 18,506.88 × 4,947.48
  4. Step 4: Simplify right side
    12,346.83x = 91,562,418.66
  5. Step 5: Solve for x
    x = 91,562,418.66/12,346.83
  6. Step 6: Final answer
    x = 7,415.86

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1.5x scale

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.