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Finding the Fourth Proportional to 21,101.96, 31,659.08 and 7,776.29

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Solution

The fourth proportional to 21,101.96, 31,659.08 and 7,776.29 is: 11,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.96 : 31,659.08 = 7,776.29 : x
  2. Step 2: Convert to fraction form
    21,101.96/31,659.08 = 7,776.29/x
  3. Step 3: Cross multiply
    21,101.96x = 31,659.08 × 7,776.29
  4. Step 4: Simplify right side
    21,101.96x = 246,189,990.04
  5. Step 5: Solve for x
    x = 246,189,990.04/21,101.96
  6. Step 6: Final answer
    x = 11,666.69

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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.