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Finding the Fourth Proportional to 5,307.68, 7,324.64 and 2,949.84

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Solution

The fourth proportional to 5,307.68, 7,324.64 and 2,949.84 is: 4,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.68 : 7,324.64 = 2,949.84 : x
  2. Step 2: Convert to fraction form
    5,307.68/7,324.64 = 2,949.84/x
  3. Step 3: Cross multiply
    5,307.68x = 7,324.64 × 2,949.84
  4. Step 4: Simplify right side
    5,307.68x = 21,606,516.06
  5. Step 5: Solve for x
    x = 21,606,516.06/5,307.68
  6. Step 6: Final answer
    x = 4,070.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.