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Finding the Fourth Proportional to 7,880, 11,820.16 and 2,408

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Solution

The fourth proportional to 7,880, 11,820.16 and 2,408 is: 3,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 11,820.16 = 2,408 : x
  2. Step 2: Convert to fraction form
    7,880/11,820.16 = 2,408/x
  3. Step 3: Cross multiply
    7,880x = 11,820.16 × 2,408
  4. Step 4: Simplify right side
    7,880x = 28,462,945.28
  5. Step 5: Solve for x
    x = 28,462,945.28/7,880
  6. Step 6: Final answer
    x = 3,612.05

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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.