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Finding the Fourth Proportional to 12,445, 17,174.40 and 6,856

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Solution

The fourth proportional to 12,445, 17,174.40 and 6,856 is: 9,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445 : 17,174.40 = 6,856 : x
  2. Step 2: Convert to fraction form
    12,445/17,174.40 = 6,856/x
  3. Step 3: Cross multiply
    12,445x = 17,174.40 × 6,856
  4. Step 4: Simplify right side
    12,445x = 117,747,686.40
  5. Step 5: Solve for x
    x = 117,747,686.40/12,445
  6. Step 6: Final answer
    x = 9,461.45

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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.