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Finding the Fourth Proportional to 1,228.86, 1,845.12 and 1,207

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Solution

The fourth proportional to 1,228.86, 1,845.12 and 1,207 is: 1,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.86 : 1,845.12 = 1,207 : x
  2. Step 2: Convert to fraction form
    1,228.86/1,845.12 = 1,207/x
  3. Step 3: Cross multiply
    1,228.86x = 1,845.12 × 1,207
  4. Step 4: Simplify right side
    1,228.86x = 2,227,059.84
  5. Step 5: Solve for x
    x = 2,227,059.84/1,228.86
  6. Step 6: Final answer
    x = 1,812.30

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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.