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Finding the Fourth Proportional to 7,277.84, 10,920.89 and 3,946.19

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Solution

The fourth proportional to 7,277.84, 10,920.89 and 3,946.19 is: 5,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.84 : 10,920.89 = 3,946.19 : x
  2. Step 2: Convert to fraction form
    7,277.84/10,920.89 = 3,946.19/x
  3. Step 3: Cross multiply
    7,277.84x = 10,920.89 × 3,946.19
  4. Step 4: Simplify right side
    7,277.84x = 43,095,862.17
  5. Step 5: Solve for x
    x = 43,095,862.17/7,277.84
  6. Step 6: Final answer
    x = 5,921.52

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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.