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Finding the Fourth Proportional to 12,803.84, 19,205.76 and 7,328

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Solution

The fourth proportional to 12,803.84, 19,205.76 and 7,328 is: 10,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.84 : 19,205.76 = 7,328 : x
  2. Step 2: Convert to fraction form
    12,803.84/19,205.76 = 7,328/x
  3. Step 3: Cross multiply
    12,803.84x = 19,205.76 × 7,328
  4. Step 4: Simplify right side
    12,803.84x = 140,739,809.28
  5. Step 5: Solve for x
    x = 140,739,809.28/12,803.84
  6. Step 6: Final answer
    x = 10,992

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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.