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Finding the Fourth Proportional to 8,855.84, 13,266.48 and 3,913.76

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Solution

The fourth proportional to 8,855.84, 13,266.48 and 3,913.76 is: 5,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,855.84 : 13,266.48 = 3,913.76 : x
  2. Step 2: Convert to fraction form
    8,855.84/13,266.48 = 3,913.76/x
  3. Step 3: Cross multiply
    8,855.84x = 13,266.48 × 3,913.76
  4. Step 4: Simplify right side
    8,855.84x = 51,921,818.76
  5. Step 5: Solve for x
    x = 51,921,818.76/8,855.84
  6. Step 6: Final answer
    x = 5,863.00

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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.