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Finding the Fourth Proportional to 21,292.84, 31,945.02 and 8,145.64

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Solution

The fourth proportional to 21,292.84, 31,945.02 and 8,145.64 is: 12,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.84 : 31,945.02 = 8,145.64 : x
  2. Step 2: Convert to fraction form
    21,292.84/31,945.02 = 8,145.64/x
  3. Step 3: Cross multiply
    21,292.84x = 31,945.02 × 8,145.64
  4. Step 4: Simplify right side
    21,292.84x = 260,212,632.71
  5. Step 5: Solve for x
    x = 260,212,632.71/21,292.84
  6. Step 6: Final answer
    x = 12,220.66

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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.