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Finding the Fourth Proportional to 1,364.86, 1,884.36 and 841.06

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Solution

The fourth proportional to 1,364.86, 1,884.36 and 841.06 is: 1,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.86 : 1,884.36 = 841.06 : x
  2. Step 2: Convert to fraction form
    1,364.86/1,884.36 = 841.06/x
  3. Step 3: Cross multiply
    1,364.86x = 1,884.36 × 841.06
  4. Step 4: Simplify right side
    1,364.86x = 1,584,859.82
  5. Step 5: Solve for x
    x = 1,584,859.82/1,364.86
  6. Step 6: Final answer
    x = 1,161.19

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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.