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Finding the Fourth Proportional to 21,920.64, 32,880.96 and 20,346

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Solution

The fourth proportional to 21,920.64, 32,880.96 and 20,346 is: 30,519

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.64 : 32,880.96 = 20,346 : x
  2. Step 2: Convert to fraction form
    21,920.64/32,880.96 = 20,346/x
  3. Step 3: Cross multiply
    21,920.64x = 32,880.96 × 20,346
  4. Step 4: Simplify right side
    21,920.64x = 668,996,012.16
  5. Step 5: Solve for x
    x = 668,996,012.16/21,920.64
  6. Step 6: Final answer
    x = 30,519

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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.