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Finding the Fourth Proportional to 8,428, 12,647.76 and 2,956

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Solution

The fourth proportional to 8,428, 12,647.76 and 2,956 is: 4,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428 : 12,647.76 = 2,956 : x
  2. Step 2: Convert to fraction form
    8,428/12,647.76 = 2,956/x
  3. Step 3: Cross multiply
    8,428x = 12,647.76 × 2,956
  4. Step 4: Simplify right side
    8,428x = 37,386,778.56
  5. Step 5: Solve for x
    x = 37,386,778.56/8,428
  6. Step 6: Final answer
    x = 4,436.02

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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.