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Finding the Fourth Proportional to 15,843.66, 21,865.32 and 9,129.12

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Solution

The fourth proportional to 15,843.66, 21,865.32 and 9,129.12 is: 12,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.66 : 21,865.32 = 9,129.12 : x
  2. Step 2: Convert to fraction form
    15,843.66/21,865.32 = 9,129.12/x
  3. Step 3: Cross multiply
    15,843.66x = 21,865.32 × 9,129.12
  4. Step 4: Simplify right side
    15,843.66x = 199,611,130.12
  5. Step 5: Solve for x
    x = 199,611,130.12/15,843.66
  6. Step 6: Final answer
    x = 12,598.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.