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Finding the Fourth Proportional to 2,776.71, 4,165.04 and 828.93

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Solution

The fourth proportional to 2,776.71, 4,165.04 and 828.93 is: 1,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.71 : 4,165.04 = 828.93 : x
  2. Step 2: Convert to fraction form
    2,776.71/4,165.04 = 828.93/x
  3. Step 3: Cross multiply
    2,776.71x = 4,165.04 × 828.93
  4. Step 4: Simplify right side
    2,776.71x = 3,452,522.46
  5. Step 5: Solve for x
    x = 3,452,522.46/2,776.71
  6. Step 6: Final answer
    x = 1,243.39

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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.