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Finding the Fourth Proportional to 13,340.64, 20,023.90 and 6,420

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Solution

The fourth proportional to 13,340.64, 20,023.90 and 6,420 is: 9,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,340.64 : 20,023.90 = 6,420 : x
  2. Step 2: Convert to fraction form
    13,340.64/20,023.90 = 6,420/x
  3. Step 3: Cross multiply
    13,340.64x = 20,023.90 × 6,420
  4. Step 4: Simplify right side
    13,340.64x = 128,553,438.00
  5. Step 5: Solve for x
    x = 128,553,438.00/13,340.64
  6. Step 6: Final answer
    x = 9,636.23

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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.