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Finding the Fourth Proportional to 12,347.40, 18,523.80 and 4,027.80

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Solution

The fourth proportional to 12,347.40, 18,523.80 and 4,027.80 is: 6,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.40 : 18,523.80 = 4,027.80 : x
  2. Step 2: Convert to fraction form
    12,347.40/18,523.80 = 4,027.80/x
  3. Step 3: Cross multiply
    12,347.40x = 18,523.80 × 4,027.80
  4. Step 4: Simplify right side
    12,347.40x = 74,610,161.64
  5. Step 5: Solve for x
    x = 74,610,161.64/12,347.40
  6. Step 6: Final answer
    x = 6,042.58

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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.