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Finding the Fourth Proportional to 1,515.86, 2,091.62 and 852.47

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Solution

The fourth proportional to 1,515.86, 2,091.62 and 852.47 is: 1,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.86 : 2,091.62 = 852.47 : x
  2. Step 2: Convert to fraction form
    1,515.86/2,091.62 = 852.47/x
  3. Step 3: Cross multiply
    1,515.86x = 2,091.62 × 852.47
  4. Step 4: Simplify right side
    1,515.86x = 1,783,054.58
  5. Step 5: Solve for x
    x = 1,783,054.58/1,515.86
  6. Step 6: Final answer
    x = 1,176.26

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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.