Home / 1,970.31-2,952.67-1,093.19

Finding the Fourth Proportional to 1,970.31, 2,952.67 and 1,093.19

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Solution

The fourth proportional to 1,970.31, 2,952.67 and 1,093.19 is: 1,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.31 : 2,952.67 = 1,093.19 : x
  2. Step 2: Convert to fraction form
    1,970.31/2,952.67 = 1,093.19/x
  3. Step 3: Cross multiply
    1,970.31x = 2,952.67 × 1,093.19
  4. Step 4: Simplify right side
    1,970.31x = 3,227,829.32
  5. Step 5: Solve for x
    x = 3,227,829.32/1,970.31
  6. Step 6: Final answer
    x = 1,638.23

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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.