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Finding the Fourth Proportional to 10,559, 15,840.12 and 7,659.20

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Solution

The fourth proportional to 10,559, 15,840.12 and 7,659.20 is: 11,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559 : 15,840.12 = 7,659.20 : x
  2. Step 2: Convert to fraction form
    10,559/15,840.12 = 7,659.20/x
  3. Step 3: Cross multiply
    10,559x = 15,840.12 × 7,659.20
  4. Step 4: Simplify right side
    10,559x = 121,322,647.10
  5. Step 5: Solve for x
    x = 121,322,647.10/10,559
  6. Step 6: Final answer
    x = 11,489.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.