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Finding the Fourth Proportional to 10,291.42, 15,424.83 and 4,739.17

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Solution

The fourth proportional to 10,291.42, 15,424.83 and 4,739.17 is: 7,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.42 : 15,424.83 = 4,739.17 : x
  2. Step 2: Convert to fraction form
    10,291.42/15,424.83 = 4,739.17/x
  3. Step 3: Cross multiply
    10,291.42x = 15,424.83 × 4,739.17
  4. Step 4: Simplify right side
    10,291.42x = 73,100,891.59
  5. Step 5: Solve for x
    x = 73,100,891.59/10,291.42
  6. Step 6: Final answer
    x = 7,103.09

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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.