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Finding the Fourth Proportional to 7,323, 10,985.88 and 2,940.80

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Solution

The fourth proportional to 7,323, 10,985.88 and 2,940.80 is: 4,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323 : 10,985.88 = 2,940.80 : x
  2. Step 2: Convert to fraction form
    7,323/10,985.88 = 2,940.80/x
  3. Step 3: Cross multiply
    7,323x = 10,985.88 × 2,940.80
  4. Step 4: Simplify right side
    7,323x = 32,307,275.90
  5. Step 5: Solve for x
    x = 32,307,275.90/7,323
  6. Step 6: Final answer
    x = 4,411.75

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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.