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Finding the Fourth Proportional to 12,470.76, 18,705.93 and 7,213.68

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Solution

The fourth proportional to 12,470.76, 18,705.93 and 7,213.68 is: 10,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.76 : 18,705.93 = 7,213.68 : x
  2. Step 2: Convert to fraction form
    12,470.76/18,705.93 = 7,213.68/x
  3. Step 3: Cross multiply
    12,470.76x = 18,705.93 × 7,213.68
  4. Step 4: Simplify right side
    12,470.76x = 134,938,593.12
  5. Step 5: Solve for x
    x = 134,938,593.12/12,470.76
  6. Step 6: Final answer
    x = 10,820.40

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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.