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Finding the Fourth Proportional to 12,388.70, 18,573.78 and 7,457.18

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Solution

The fourth proportional to 12,388.70, 18,573.78 and 7,457.18 is: 11,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.70 : 18,573.78 = 7,457.18 : x
  2. Step 2: Convert to fraction form
    12,388.70/18,573.78 = 7,457.18/x
  3. Step 3: Cross multiply
    12,388.70x = 18,573.78 × 7,457.18
  4. Step 4: Simplify right side
    12,388.70x = 138,508,020.74
  5. Step 5: Solve for x
    x = 138,508,020.74/12,388.70
  6. Step 6: Final answer
    x = 11,180.19

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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.