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Finding the Fourth Proportional to 10,287.81, 14,197.14 and 5,811.21

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Solution

The fourth proportional to 10,287.81, 14,197.14 and 5,811.21 is: 8,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.81 : 14,197.14 = 5,811.21 : x
  2. Step 2: Convert to fraction form
    10,287.81/14,197.14 = 5,811.21/x
  3. Step 3: Cross multiply
    10,287.81x = 14,197.14 × 5,811.21
  4. Step 4: Simplify right side
    10,287.81x = 82,502,561.94
  5. Step 5: Solve for x
    x = 82,502,561.94/10,287.81
  6. Step 6: Final answer
    x = 8,019.45

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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.