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Finding the Fourth Proportional to 9,214, 13,822.08 and 3,058

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Solution

The fourth proportional to 9,214, 13,822.08 and 3,058 is: 4,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214 : 13,822.08 = 3,058 : x
  2. Step 2: Convert to fraction form
    9,214/13,822.08 = 3,058/x
  3. Step 3: Cross multiply
    9,214x = 13,822.08 × 3,058
  4. Step 4: Simplify right side
    9,214x = 42,267,920.64
  5. Step 5: Solve for x
    x = 42,267,920.64/9,214
  6. Step 6: Final answer
    x = 4,587.36

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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.