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Finding the Fourth Proportional to 1,887.16, 2,830.20 and 1,147

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Solution

The fourth proportional to 1,887.16, 2,830.20 and 1,147 is: 1,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.16 : 2,830.20 = 1,147 : x
  2. Step 2: Convert to fraction form
    1,887.16/2,830.20 = 1,147/x
  3. Step 3: Cross multiply
    1,887.16x = 2,830.20 × 1,147
  4. Step 4: Simplify right side
    1,887.16x = 3,246,239.40
  5. Step 5: Solve for x
    x = 3,246,239.40/1,887.16
  6. Step 6: Final answer
    x = 1,720.17

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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.