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Finding the Fourth Proportional to 12,714.99, 19,047.89 and 7,151.43

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Solution

The fourth proportional to 12,714.99, 19,047.89 and 7,151.43 is: 10,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.99 : 19,047.89 = 7,151.43 : x
  2. Step 2: Convert to fraction form
    12,714.99/19,047.89 = 7,151.43/x
  3. Step 3: Cross multiply
    12,714.99x = 19,047.89 × 7,151.43
  4. Step 4: Simplify right side
    12,714.99x = 136,219,616.23
  5. Step 5: Solve for x
    x = 136,219,616.23/12,714.99
  6. Step 6: Final answer
    x = 10,713.31

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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.