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Finding the Fourth Proportional to 21,153.08, 31,734.08 and 8,005.16

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Solution

The fourth proportional to 21,153.08, 31,734.08 and 8,005.16 is: 12,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.08 : 31,734.08 = 8,005.16 : x
  2. Step 2: Convert to fraction form
    21,153.08/31,734.08 = 8,005.16/x
  3. Step 3: Cross multiply
    21,153.08x = 31,734.08 × 8,005.16
  4. Step 4: Simplify right side
    21,153.08x = 254,036,387.85
  5. Step 5: Solve for x
    x = 254,036,387.85/21,153.08
  6. Step 6: Final answer
    x = 12,009.43

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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.