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Finding the Fourth Proportional to 7,277.80, 10,916.70 and 2,012.80

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Solution

The fourth proportional to 7,277.80, 10,916.70 and 2,012.80 is: 3,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.80 : 10,916.70 = 2,012.80 : x
  2. Step 2: Convert to fraction form
    7,277.80/10,916.70 = 2,012.80/x
  3. Step 3: Cross multiply
    7,277.80x = 10,916.70 × 2,012.80
  4. Step 4: Simplify right side
    7,277.80x = 21,973,133.76
  5. Step 5: Solve for x
    x = 21,973,133.76/7,277.80
  6. Step 6: Final answer
    x = 3,019.20

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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.