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Finding the Fourth Proportional to 12,983.68, 17,923.44 and 8,507.68

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Solution

The fourth proportional to 12,983.68, 17,923.44 and 8,507.68 is: 11,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.68 : 17,923.44 = 8,507.68 : x
  2. Step 2: Convert to fraction form
    12,983.68/17,923.44 = 8,507.68/x
  3. Step 3: Cross multiply
    12,983.68x = 17,923.44 × 8,507.68
  4. Step 4: Simplify right side
    12,983.68x = 152,486,892.02
  5. Step 5: Solve for x
    x = 152,486,892.02/12,983.68
  6. Step 6: Final answer
    x = 11,744.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.