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Finding the Fourth Proportional to 12,734.22, 18,970.02 and 12,347.31

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Solution

The fourth proportional to 12,734.22, 18,970.02 and 12,347.31 is: 18,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.22 : 18,970.02 = 12,347.31 : x
  2. Step 2: Convert to fraction form
    12,734.22/18,970.02 = 12,347.31/x
  3. Step 3: Cross multiply
    12,734.22x = 18,970.02 × 12,347.31
  4. Step 4: Simplify right side
    12,734.22x = 234,228,717.65
  5. Step 5: Solve for x
    x = 234,228,717.65/12,734.22
  6. Step 6: Final answer
    x = 18,393.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.