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Finding the Fourth Proportional to 5,785.30, 8,677.94 and 2,828.74

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Solution

The fourth proportional to 5,785.30, 8,677.94 and 2,828.74 is: 4,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.30 : 8,677.94 = 2,828.74 : x
  2. Step 2: Convert to fraction form
    5,785.30/8,677.94 = 2,828.74/x
  3. Step 3: Cross multiply
    5,785.30x = 8,677.94 × 2,828.74
  4. Step 4: Simplify right side
    5,785.30x = 24,547,636.00
  5. Step 5: Solve for x
    x = 24,547,636.00/5,785.30
  6. Step 6: Final answer
    x = 4,243.11

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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.