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Finding the Fourth Proportional to 7,858, 11,787.48 and 2,386

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Solution

The fourth proportional to 7,858, 11,787.48 and 2,386 is: 3,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 11,787.48 = 2,386 : x
  2. Step 2: Convert to fraction form
    7,858/11,787.48 = 2,386/x
  3. Step 3: Cross multiply
    7,858x = 11,787.48 × 2,386
  4. Step 4: Simplify right side
    7,858x = 28,124,927.28
  5. Step 5: Solve for x
    x = 28,124,927.28/7,858
  6. Step 6: Final answer
    x = 3,579.15

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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.