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Finding the Fourth Proportional to 21,504, 32,259.60 and 6,710.64

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Solution

The fourth proportional to 21,504, 32,259.60 and 6,710.64 is: 10,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504 : 32,259.60 = 6,710.64 : x
  2. Step 2: Convert to fraction form
    21,504/32,259.60 = 6,710.64/x
  3. Step 3: Cross multiply
    21,504x = 32,259.60 × 6,710.64
  4. Step 4: Simplify right side
    21,504x = 216,482,562.14
  5. Step 5: Solve for x
    x = 216,482,562.14/21,504
  6. Step 6: Final answer
    x = 10,067.08

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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.