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Finding the Fourth Proportional to 7,782.77, 11,678.71 and 2,852.76

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Solution

The fourth proportional to 7,782.77, 11,678.71 and 2,852.76 is: 4,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.77 : 11,678.71 = 2,852.76 : x
  2. Step 2: Convert to fraction form
    7,782.77/11,678.71 = 2,852.76/x
  3. Step 3: Cross multiply
    7,782.77x = 11,678.71 × 2,852.76
  4. Step 4: Simplify right side
    7,782.77x = 33,316,556.74
  5. Step 5: Solve for x
    x = 33,316,556.74/7,782.77
  6. Step 6: Final answer
    x = 4,280.81

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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.