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Finding the Fourth Proportional to 1,970.07, 2,954.14 and 703.18

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Solution

The fourth proportional to 1,970.07, 2,954.14 and 703.18 is: 1,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.07 : 2,954.14 = 703.18 : x
  2. Step 2: Convert to fraction form
    1,970.07/2,954.14 = 703.18/x
  3. Step 3: Cross multiply
    1,970.07x = 2,954.14 × 703.18
  4. Step 4: Simplify right side
    1,970.07x = 2,077,295.58
  5. Step 5: Solve for x
    x = 2,077,295.58/1,970.07
  6. Step 6: Final answer
    x = 1,054.43

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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.