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Finding the Fourth Proportional to 1,397.86, 1,929.09 and 1,047.94

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Solution

The fourth proportional to 1,397.86, 1,929.09 and 1,047.94 is: 1,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.86 : 1,929.09 = 1,047.94 : x
  2. Step 2: Convert to fraction form
    1,397.86/1,929.09 = 1,047.94/x
  3. Step 3: Cross multiply
    1,397.86x = 1,929.09 × 1,047.94
  4. Step 4: Simplify right side
    1,397.86x = 2,021,570.57
  5. Step 5: Solve for x
    x = 2,021,570.57/1,397.86
  6. Step 6: Final answer
    x = 1,446.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.