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Finding the Fourth Proportional to 1,970.79, 2,719.88 and 1,263.25

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Solution

The fourth proportional to 1,970.79, 2,719.88 and 1,263.25 is: 1,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.79 : 2,719.88 = 1,263.25 : x
  2. Step 2: Convert to fraction form
    1,970.79/2,719.88 = 1,263.25/x
  3. Step 3: Cross multiply
    1,970.79x = 2,719.88 × 1,263.25
  4. Step 4: Simplify right side
    1,970.79x = 3,435,888.41
  5. Step 5: Solve for x
    x = 3,435,888.41/1,970.79
  6. Step 6: Final answer
    x = 1,743.41

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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.