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Finding the Fourth Proportional to 9,434.16, 13,021.20 and 5,899.68

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Solution

The fourth proportional to 9,434.16, 13,021.20 and 5,899.68 is: 8,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.16 : 13,021.20 = 5,899.68 : x
  2. Step 2: Convert to fraction form
    9,434.16/13,021.20 = 5,899.68/x
  3. Step 3: Cross multiply
    9,434.16x = 13,021.20 × 5,899.68
  4. Step 4: Simplify right side
    9,434.16x = 76,820,913.22
  5. Step 5: Solve for x
    x = 76,820,913.22/9,434.16
  6. Step 6: Final answer
    x = 8,142.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.