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Finding the Fourth Proportional to 12,417.40, 17,135.78 and 6,828.28

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Solution

The fourth proportional to 12,417.40, 17,135.78 and 6,828.28 is: 9,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.40 : 17,135.78 = 6,828.28 : x
  2. Step 2: Convert to fraction form
    12,417.40/17,135.78 = 6,828.28/x
  3. Step 3: Cross multiply
    12,417.40x = 17,135.78 × 6,828.28
  4. Step 4: Simplify right side
    12,417.40x = 117,007,903.86
  5. Step 5: Solve for x
    x = 117,007,903.86/12,417.40
  6. Step 6: Final answer
    x = 9,422.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.