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Finding the Fourth Proportional to 1,319.60, 1,821.40 and 847.82

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Solution

The fourth proportional to 1,319.60, 1,821.40 and 847.82 is: 1,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.60 : 1,821.40 = 847.82 : x
  2. Step 2: Convert to fraction form
    1,319.60/1,821.40 = 847.82/x
  3. Step 3: Cross multiply
    1,319.60x = 1,821.40 × 847.82
  4. Step 4: Simplify right side
    1,319.60x = 1,544,219.35
  5. Step 5: Solve for x
    x = 1,544,219.35/1,319.60
  6. Step 6: Final answer
    x = 1,170.22

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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.