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Finding the Fourth Proportional to 12,289, 16,959 and 6,700

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Solution

The fourth proportional to 12,289, 16,959 and 6,700 is: 9,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289 : 16,959 = 6,700 : x
  2. Step 2: Convert to fraction form
    12,289/16,959 = 6,700/x
  3. Step 3: Cross multiply
    12,289x = 16,959 × 6,700
  4. Step 4: Simplify right side
    12,289x = 113,625,300
  5. Step 5: Solve for x
    x = 113,625,300/12,289
  6. Step 6: Final answer
    x = 9,246.10

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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.