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Finding the Fourth Proportional to 7,144.91, 9,864.79 and 4,460.21

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Solution

The fourth proportional to 7,144.91, 9,864.79 and 4,460.21 is: 6,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.91 : 9,864.79 = 4,460.21 : x
  2. Step 2: Convert to fraction form
    7,144.91/9,864.79 = 4,460.21/x
  3. Step 3: Cross multiply
    7,144.91x = 9,864.79 × 4,460.21
  4. Step 4: Simplify right side
    7,144.91x = 43,999,067.01
  5. Step 5: Solve for x
    x = 43,999,067.01/7,144.91
  6. Step 6: Final answer
    x = 6,158.10

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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.