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Finding the Fourth Proportional to 15,702.82, 21,664.53 and 9,732.31

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Solution

The fourth proportional to 15,702.82, 21,664.53 and 9,732.31 is: 13,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.82 : 21,664.53 = 9,732.31 : x
  2. Step 2: Convert to fraction form
    15,702.82/21,664.53 = 9,732.31/x
  3. Step 3: Cross multiply
    15,702.82x = 21,664.53 × 9,732.31
  4. Step 4: Simplify right side
    15,702.82x = 210,845,867.80
  5. Step 5: Solve for x
    x = 210,845,867.80/15,702.82
  6. Step 6: Final answer
    x = 13,427.26

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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.