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Finding the Fourth Proportional to 6,946, 10,420.68 and 2,842

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Solution

The fourth proportional to 6,946, 10,420.68 and 2,842 is: 4,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946 : 10,420.68 = 2,842 : x
  2. Step 2: Convert to fraction form
    6,946/10,420.68 = 2,842/x
  3. Step 3: Cross multiply
    6,946x = 10,420.68 × 2,842
  4. Step 4: Simplify right side
    6,946x = 29,615,572.56
  5. Step 5: Solve for x
    x = 29,615,572.56/6,946
  6. Step 6: Final answer
    x = 4,263.69

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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.