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Finding the Fourth Proportional to 10,873.68, 14,997.92 and 9,980.33

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Solution

The fourth proportional to 10,873.68, 14,997.92 and 9,980.33 is: 13,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.68 : 14,997.92 = 9,980.33 : x
  2. Step 2: Convert to fraction form
    10,873.68/14,997.92 = 9,980.33/x
  3. Step 3: Cross multiply
    10,873.68x = 14,997.92 × 9,980.33
  4. Step 4: Simplify right side
    10,873.68x = 149,684,066.02
  5. Step 5: Solve for x
    x = 149,684,066.02/10,873.68
  6. Step 6: Final answer
    x = 13,765.72

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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.