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Finding the Fourth Proportional to 1,977.54, 2,970.90 and 1,871.25

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Solution

The fourth proportional to 1,977.54, 2,970.90 and 1,871.25 is: 2,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.54 : 2,970.90 = 1,871.25 : x
  2. Step 2: Convert to fraction form
    1,977.54/2,970.90 = 1,871.25/x
  3. Step 3: Cross multiply
    1,977.54x = 2,970.90 × 1,871.25
  4. Step 4: Simplify right side
    1,977.54x = 5,559,296.63
  5. Step 5: Solve for x
    x = 5,559,296.63/1,977.54
  6. Step 6: Final answer
    x = 2,811.22

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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.