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Finding the Fourth Proportional to 21,103.68, 31,645.02 and 7,776.06

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Solution

The fourth proportional to 21,103.68, 31,645.02 and 7,776.06 is: 11,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.68 : 31,645.02 = 7,776.06 : x
  2. Step 2: Convert to fraction form
    21,103.68/31,645.02 = 7,776.06/x
  3. Step 3: Cross multiply
    21,103.68x = 31,645.02 × 7,776.06
  4. Step 4: Simplify right side
    21,103.68x = 246,073,574.22
  5. Step 5: Solve for x
    x = 246,073,574.22/21,103.68
  6. Step 6: Final answer
    x = 11,660.22

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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.