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Finding the Fourth Proportional to 12,071.18, 16,658.19 and 7,038.38

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Solution

The fourth proportional to 12,071.18, 16,658.19 and 7,038.38 is: 9,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.18 : 16,658.19 = 7,038.38 : x
  2. Step 2: Convert to fraction form
    12,071.18/16,658.19 = 7,038.38/x
  3. Step 3: Cross multiply
    12,071.18x = 16,658.19 × 7,038.38
  4. Step 4: Simplify right side
    12,071.18x = 117,246,671.33
  5. Step 5: Solve for x
    x = 117,246,671.33/12,071.18
  6. Step 6: Final answer
    x = 9,712.94

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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.