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Finding the Fourth Proportional to 1,970.83, 2,718.38 and 1,597.82

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Solution

The fourth proportional to 1,970.83, 2,718.38 and 1,597.82 is: 2,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.83 : 2,718.38 = 1,597.82 : x
  2. Step 2: Convert to fraction form
    1,970.83/2,718.38 = 1,597.82/x
  3. Step 3: Cross multiply
    1,970.83x = 2,718.38 × 1,597.82
  4. Step 4: Simplify right side
    1,970.83x = 4,343,473.94
  5. Step 5: Solve for x
    x = 4,343,473.94/1,970.83
  6. Step 6: Final answer
    x = 2,203.89

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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.