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Finding the Fourth Proportional to 9,187.17, 12,684.38 and 7,058.90

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Solution

The fourth proportional to 9,187.17, 12,684.38 and 7,058.90 is: 9,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.17 : 12,684.38 = 7,058.90 : x
  2. Step 2: Convert to fraction form
    9,187.17/12,684.38 = 7,058.90/x
  3. Step 3: Cross multiply
    9,187.17x = 12,684.38 × 7,058.90
  4. Step 4: Simplify right side
    9,187.17x = 89,537,671.27
  5. Step 5: Solve for x
    x = 89,537,671.27/9,187.17
  6. Step 6: Final answer
    x = 9,745.95

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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.