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Finding the Fourth Proportional to 15,726.84, 21,701.93 and 9,353.09

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Solution

The fourth proportional to 15,726.84, 21,701.93 and 9,353.09 is: 12,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.84 : 21,701.93 = 9,353.09 : x
  2. Step 2: Convert to fraction form
    15,726.84/21,701.93 = 9,353.09/x
  3. Step 3: Cross multiply
    15,726.84x = 21,701.93 × 9,353.09
  4. Step 4: Simplify right side
    15,726.84x = 202,979,949.19
  5. Step 5: Solve for x
    x = 202,979,949.19/15,726.84
  6. Step 6: Final answer
    x = 12,906.59

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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.