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Finding the Fourth Proportional to 12,454, 17,186.52 and 6,865.12

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Solution

The fourth proportional to 12,454, 17,186.52 and 6,865.12 is: 9,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454 : 17,186.52 = 6,865.12 : x
  2. Step 2: Convert to fraction form
    12,454/17,186.52 = 6,865.12/x
  3. Step 3: Cross multiply
    12,454x = 17,186.52 × 6,865.12
  4. Step 4: Simplify right side
    12,454x = 117,987,522.18
  5. Step 5: Solve for x
    x = 117,987,522.18/12,454
  6. Step 6: Final answer
    x = 9,473.87

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1.5x scale

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.