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Finding the Fourth Proportional to 7,842, 11,763.96 and 2,370

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Solution

The fourth proportional to 7,842, 11,763.96 and 2,370 is: 3,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 11,763.96 = 2,370 : x
  2. Step 2: Convert to fraction form
    7,842/11,763.96 = 2,370/x
  3. Step 3: Cross multiply
    7,842x = 11,763.96 × 2,370
  4. Step 4: Simplify right side
    7,842x = 27,880,585.20
  5. Step 5: Solve for x
    x = 27,880,585.20/7,842
  6. Step 6: Final answer
    x = 3,555.29

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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.