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Finding the Fourth Proportional to 15,702.74, 21,670.17 and 8,629.82

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Solution

The fourth proportional to 15,702.74, 21,670.17 and 8,629.82 is: 11,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.74 : 21,670.17 = 8,629.82 : x
  2. Step 2: Convert to fraction form
    15,702.74/21,670.17 = 8,629.82/x
  3. Step 3: Cross multiply
    15,702.74x = 21,670.17 × 8,629.82
  4. Step 4: Simplify right side
    15,702.74x = 187,009,666.47
  5. Step 5: Solve for x
    x = 187,009,666.47/15,702.74
  6. Step 6: Final answer
    x = 11,909.37

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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.