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Finding the Fourth Proportional to 13,142.88, 19,714.32 and 3,908.88

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Solution

The fourth proportional to 13,142.88, 19,714.32 and 3,908.88 is: 5,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.88 : 19,714.32 = 3,908.88 : x
  2. Step 2: Convert to fraction form
    13,142.88/19,714.32 = 3,908.88/x
  3. Step 3: Cross multiply
    13,142.88x = 19,714.32 × 3,908.88
  4. Step 4: Simplify right side
    13,142.88x = 77,060,911.16
  5. Step 5: Solve for x
    x = 77,060,911.16/13,142.88
  6. Step 6: Final answer
    x = 5,863.32

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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.