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Finding the Fourth Proportional to 12,071, 16,658.02 and 7,038.70

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Solution

The fourth proportional to 12,071, 16,658.02 and 7,038.70 is: 9,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071 : 16,658.02 = 7,038.70 : x
  2. Step 2: Convert to fraction form
    12,071/16,658.02 = 7,038.70/x
  3. Step 3: Cross multiply
    12,071x = 16,658.02 × 7,038.70
  4. Step 4: Simplify right side
    12,071x = 117,250,805.37
  5. Step 5: Solve for x
    x = 117,250,805.37/12,071
  6. Step 6: Final answer
    x = 9,713.43

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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.