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Finding the Fourth Proportional to 1,887.45, 2,832.05 and 847.73

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Solution

The fourth proportional to 1,887.45, 2,832.05 and 847.73 is: 1,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.45 : 2,832.05 = 847.73 : x
  2. Step 2: Convert to fraction form
    1,887.45/2,832.05 = 847.73/x
  3. Step 3: Cross multiply
    1,887.45x = 2,832.05 × 847.73
  4. Step 4: Simplify right side
    1,887.45x = 2,400,818.18
  5. Step 5: Solve for x
    x = 2,400,818.18/1,887.45
  6. Step 6: Final answer
    x = 1,271.99

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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.