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Finding the Fourth Proportional to 15,820.58, 21,832.84 and 8,747.26

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Solution

The fourth proportional to 15,820.58, 21,832.84 and 8,747.26 is: 12,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.58 : 21,832.84 = 8,747.26 : x
  2. Step 2: Convert to fraction form
    15,820.58/21,832.84 = 8,747.26/x
  3. Step 3: Cross multiply
    15,820.58x = 21,832.84 × 8,747.26
  4. Step 4: Simplify right side
    15,820.58x = 190,977,484.37
  5. Step 5: Solve for x
    x = 190,977,484.37/15,820.58
  6. Step 6: Final answer
    x = 12,071.46

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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.