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Finding the Fourth Proportional to 21,345.64, 32,009.82 and 9,025

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Solution

The fourth proportional to 21,345.64, 32,009.82 and 9,025 is: 13,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345.64 : 32,009.82 = 9,025 : x
  2. Step 2: Convert to fraction form
    21,345.64/32,009.82 = 9,025/x
  3. Step 3: Cross multiply
    21,345.64x = 32,009.82 × 9,025
  4. Step 4: Simplify right side
    21,345.64x = 288,888,625.50
  5. Step 5: Solve for x
    x = 288,888,625.50/21,345.64
  6. Step 6: Final answer
    x = 13,533.85

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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.