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Finding the Fourth Proportional to 8,713.21, 12,018.39 and 5,842

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Solution

The fourth proportional to 8,713.21, 12,018.39 and 5,842 is: 8,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.21 : 12,018.39 = 5,842 : x
  2. Step 2: Convert to fraction form
    8,713.21/12,018.39 = 5,842/x
  3. Step 3: Cross multiply
    8,713.21x = 12,018.39 × 5,842
  4. Step 4: Simplify right side
    8,713.21x = 70,211,434.38
  5. Step 5: Solve for x
    x = 70,211,434.38/8,713.21
  6. Step 6: Final answer
    x = 8,058.04

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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.