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Finding the Fourth Proportional to 15,317, 21,137.48 and 8,693

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Solution

The fourth proportional to 15,317, 21,137.48 and 8,693 is: 11,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,317 : 21,137.48 = 8,693 : x
  2. Step 2: Convert to fraction form
    15,317/21,137.48 = 8,693/x
  3. Step 3: Cross multiply
    15,317x = 21,137.48 × 8,693
  4. Step 4: Simplify right side
    15,317x = 183,748,113.64
  5. Step 5: Solve for x
    x = 183,748,113.64/15,317
  6. Step 6: Final answer
    x = 11,996.35

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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.