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Finding the Fourth Proportional to 21,697.50, 32,509.08 and 11,843.69

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Solution

The fourth proportional to 21,697.50, 32,509.08 and 11,843.69 is: 17,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.50 : 32,509.08 = 11,843.69 : x
  2. Step 2: Convert to fraction form
    21,697.50/32,509.08 = 11,843.69/x
  3. Step 3: Cross multiply
    21,697.50x = 32,509.08 × 11,843.69
  4. Step 4: Simplify right side
    21,697.50x = 385,027,303.16
  5. Step 5: Solve for x
    x = 385,027,303.16/21,697.50
  6. Step 6: Final answer
    x = 17,745.24

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1.5x scale

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.