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Finding the Fourth Proportional to 12,417.19, 17,135.72 and 6,828.19

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Solution

The fourth proportional to 12,417.19, 17,135.72 and 6,828.19 is: 9,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.19 : 17,135.72 = 6,828.19 : x
  2. Step 2: Convert to fraction form
    12,417.19/17,135.72 = 6,828.19/x
  3. Step 3: Cross multiply
    12,417.19x = 17,135.72 × 6,828.19
  4. Step 4: Simplify right side
    12,417.19x = 117,005,900.57
  5. Step 5: Solve for x
    x = 117,005,900.57/12,417.19
  6. Step 6: Final answer
    x = 9,422.90

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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.