Home / 2,972.18-4,102.29-1,977.50

Finding the Fourth Proportional to 2,972.18, 4,102.29 and 1,977.50

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Solution

The fourth proportional to 2,972.18, 4,102.29 and 1,977.50 is: 2,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.18 : 4,102.29 = 1,977.50 : x
  2. Step 2: Convert to fraction form
    2,972.18/4,102.29 = 1,977.50/x
  3. Step 3: Cross multiply
    2,972.18x = 4,102.29 × 1,977.50
  4. Step 4: Simplify right side
    2,972.18x = 8,112,278.48
  5. Step 5: Solve for x
    x = 8,112,278.48/2,972.18
  6. Step 6: Final answer
    x = 2,729.40

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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.