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Finding the Fourth Proportional to 2,697.09, 4,045.05 and 847.95

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Solution

The fourth proportional to 2,697.09, 4,045.05 and 847.95 is: 1,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.09 : 4,045.05 = 847.95 : x
  2. Step 2: Convert to fraction form
    2,697.09/4,045.05 = 847.95/x
  3. Step 3: Cross multiply
    2,697.09x = 4,045.05 × 847.95
  4. Step 4: Simplify right side
    2,697.09x = 3,430,000.15
  5. Step 5: Solve for x
    x = 3,430,000.15/2,697.09
  6. Step 6: Final answer
    x = 1,271.74

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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.