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Finding the Fourth Proportional to 12,307.41, 16,980 and 6,929.01

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Solution

The fourth proportional to 12,307.41, 16,980 and 6,929.01 is: 9,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.41 : 16,980 = 6,929.01 : x
  2. Step 2: Convert to fraction form
    12,307.41/16,980 = 6,929.01/x
  3. Step 3: Cross multiply
    12,307.41x = 16,980 × 6,929.01
  4. Step 4: Simplify right side
    12,307.41x = 117,654,589.80
  5. Step 5: Solve for x
    x = 117,654,589.80/12,307.41
  6. Step 6: Final answer
    x = 9,559.65

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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.