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Finding the Fourth Proportional to 8,916.64, 13,367.68 and 5,209.76

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Solution

The fourth proportional to 8,916.64, 13,367.68 and 5,209.76 is: 7,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.64 : 13,367.68 = 5,209.76 : x
  2. Step 2: Convert to fraction form
    8,916.64/13,367.68 = 5,209.76/x
  3. Step 3: Cross multiply
    8,916.64x = 13,367.68 × 5,209.76
  4. Step 4: Simplify right side
    8,916.64x = 69,642,404.56
  5. Step 5: Solve for x
    x = 69,642,404.56/8,916.64
  6. Step 6: Final answer
    x = 7,810.39

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1.5x scale

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.