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Finding the Fourth Proportional to 21,005.76, 31,509.24 and 7,855.62

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Solution

The fourth proportional to 21,005.76, 31,509.24 and 7,855.62 is: 11,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.76 : 31,509.24 = 7,855.62 : x
  2. Step 2: Convert to fraction form
    21,005.76/31,509.24 = 7,855.62/x
  3. Step 3: Cross multiply
    21,005.76x = 31,509.24 × 7,855.62
  4. Step 4: Simplify right side
    21,005.76x = 247,524,615.93
  5. Step 5: Solve for x
    x = 247,524,615.93/21,005.76
  6. Step 6: Final answer
    x = 11,783.65

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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.