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Finding the Fourth Proportional to 9,307.68, 13,922.64 and 8,398.80

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Solution

The fourth proportional to 9,307.68, 13,922.64 and 8,398.80 is: 12,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.68 : 13,922.64 = 8,398.80 : x
  2. Step 2: Convert to fraction form
    9,307.68/13,922.64 = 8,398.80/x
  3. Step 3: Cross multiply
    9,307.68x = 13,922.64 × 8,398.80
  4. Step 4: Simplify right side
    9,307.68x = 116,933,468.83
  5. Step 5: Solve for x
    x = 116,933,468.83/9,307.68
  6. Step 6: Final answer
    x = 12,563.12

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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.