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Finding the Fourth Proportional to 2,784.78, 4,176.14 and 836.32

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Solution

The fourth proportional to 2,784.78, 4,176.14 and 836.32 is: 1,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.78 : 4,176.14 = 836.32 : x
  2. Step 2: Convert to fraction form
    2,784.78/4,176.14 = 836.32/x
  3. Step 3: Cross multiply
    2,784.78x = 4,176.14 × 836.32
  4. Step 4: Simplify right side
    2,784.78x = 3,492,589.40
  5. Step 5: Solve for x
    x = 3,492,589.40/2,784.78
  6. Step 6: Final answer
    x = 1,254.17

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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.