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Finding the Fourth Proportional to 17,108.64, 25,671.12 and 9,317.28

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Solution

The fourth proportional to 17,108.64, 25,671.12 and 9,317.28 is: 13,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,108.64 : 25,671.12 = 9,317.28 : x
  2. Step 2: Convert to fraction form
    17,108.64/25,671.12 = 9,317.28/x
  3. Step 3: Cross multiply
    17,108.64x = 25,671.12 × 9,317.28
  4. Step 4: Simplify right side
    17,108.64x = 239,185,012.95
  5. Step 5: Solve for x
    x = 239,185,012.95/17,108.64
  6. Step 6: Final answer
    x = 13,980.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.