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Finding the Fourth Proportional to 1,980.37, 2,969.17 and 869.25

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Solution

The fourth proportional to 1,980.37, 2,969.17 and 869.25 is: 1,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.37 : 2,969.17 = 869.25 : x
  2. Step 2: Convert to fraction form
    1,980.37/2,969.17 = 869.25/x
  3. Step 3: Cross multiply
    1,980.37x = 2,969.17 × 869.25
  4. Step 4: Simplify right side
    1,980.37x = 2,580,951.02
  5. Step 5: Solve for x
    x = 2,580,951.02/1,980.37
  6. Step 6: Final answer
    x = 1,303.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.