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Finding the Fourth Proportional to 21,507.84, 32,284.80 and 16,922.88

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Solution

The fourth proportional to 21,507.84, 32,284.80 and 16,922.88 is: 25,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.84 : 32,284.80 = 16,922.88 : x
  2. Step 2: Convert to fraction form
    21,507.84/32,284.80 = 16,922.88/x
  3. Step 3: Cross multiply
    21,507.84x = 32,284.80 × 16,922.88
  4. Step 4: Simplify right side
    21,507.84x = 546,351,796.22
  5. Step 5: Solve for x
    x = 546,351,796.22/21,507.84
  6. Step 6: Final answer
    x = 25,402.45

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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.