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Finding the Fourth Proportional to 10,002.62, 13,801.74 and 6,420.62

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Solution

The fourth proportional to 10,002.62, 13,801.74 and 6,420.62 is: 8,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.62 : 13,801.74 = 6,420.62 : x
  2. Step 2: Convert to fraction form
    10,002.62/13,801.74 = 6,420.62/x
  3. Step 3: Cross multiply
    10,002.62x = 13,801.74 × 6,420.62
  4. Step 4: Simplify right side
    10,002.62x = 88,615,727.88
  5. Step 5: Solve for x
    x = 88,615,727.88/10,002.62
  6. Step 6: Final answer
    x = 8,859.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.