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Finding the Fourth Proportional to 15,719, 21,692.36 and 8,645.64

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Solution

The fourth proportional to 15,719, 21,692.36 and 8,645.64 is: 11,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719 : 21,692.36 = 8,645.64 : x
  2. Step 2: Convert to fraction form
    15,719/21,692.36 = 8,645.64/x
  3. Step 3: Cross multiply
    15,719x = 21,692.36 × 8,645.64
  4. Step 4: Simplify right side
    15,719x = 187,544,335.31
  5. Step 5: Solve for x
    x = 187,544,335.31/15,719
  6. Step 6: Final answer
    x = 11,931.06

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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.