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Finding the Fourth Proportional to 12,346.90, 18,512.16 and 6,802.90

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Solution

The fourth proportional to 12,346.90, 18,512.16 and 6,802.90 is: 10,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.90 : 18,512.16 = 6,802.90 : x
  2. Step 2: Convert to fraction form
    12,346.90/18,512.16 = 6,802.90/x
  3. Step 3: Cross multiply
    12,346.90x = 18,512.16 × 6,802.90
  4. Step 4: Simplify right side
    12,346.90x = 125,936,373.26
  5. Step 5: Solve for x
    x = 125,936,373.26/12,346.90
  6. Step 6: Final answer
    x = 10,199.84

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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.