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Finding the Fourth Proportional to 7,820, 11,730 and 2,348

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Solution

The fourth proportional to 7,820, 11,730 and 2,348 is: 3,522

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820 : 11,730 = 2,348 : x
  2. Step 2: Convert to fraction form
    7,820/11,730 = 2,348/x
  3. Step 3: Cross multiply
    7,820x = 11,730 × 2,348
  4. Step 4: Simplify right side
    7,820x = 27,542,040
  5. Step 5: Solve for x
    x = 27,542,040/7,820
  6. Step 6: Final answer
    x = 3,522

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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.