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Finding the Fourth Proportional to 12,417.06, 17,135.55 and 6,828.06

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Solution

The fourth proportional to 12,417.06, 17,135.55 and 6,828.06 is: 9,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.06 : 17,135.55 = 6,828.06 : x
  2. Step 2: Convert to fraction form
    12,417.06/17,135.55 = 6,828.06/x
  3. Step 3: Cross multiply
    12,417.06x = 17,135.55 × 6,828.06
  4. Step 4: Simplify right side
    12,417.06x = 117,002,627.79
  5. Step 5: Solve for x
    x = 117,002,627.79/12,417.06
  6. Step 6: Final answer
    x = 9,422.73

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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.