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Finding the Fourth Proportional to 2,784.79, 4,176.73 and 836.65

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Solution

The fourth proportional to 2,784.79, 4,176.73 and 836.65 is: 1,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.79 : 4,176.73 = 836.65 : x
  2. Step 2: Convert to fraction form
    2,784.79/4,176.73 = 836.65/x
  3. Step 3: Cross multiply
    2,784.79x = 4,176.73 × 836.65
  4. Step 4: Simplify right side
    2,784.79x = 3,494,461.15
  5. Step 5: Solve for x
    x = 3,494,461.15/2,784.79
  6. Step 6: Final answer
    x = 1,254.84

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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.