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Finding the Fourth Proportional to 7,886.70, 11,823.17 and 2,955.02

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Solution

The fourth proportional to 7,886.70, 11,823.17 and 2,955.02 is: 4,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.70 : 11,823.17 = 2,955.02 : x
  2. Step 2: Convert to fraction form
    7,886.70/11,823.17 = 2,955.02/x
  3. Step 3: Cross multiply
    7,886.70x = 11,823.17 × 2,955.02
  4. Step 4: Simplify right side
    7,886.70x = 34,937,629.92
  5. Step 5: Solve for x
    x = 34,937,629.92/7,886.70
  6. Step 6: Final answer
    x = 4,429.94

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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.