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Finding the Fourth Proportional to 2,980.98, 4,472.24 and 900.95

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Solution

The fourth proportional to 2,980.98, 4,472.24 and 900.95 is: 1,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.98 : 4,472.24 = 900.95 : x
  2. Step 2: Convert to fraction form
    2,980.98/4,472.24 = 900.95/x
  3. Step 3: Cross multiply
    2,980.98x = 4,472.24 × 900.95
  4. Step 4: Simplify right side
    2,980.98x = 4,029,237.76
  5. Step 5: Solve for x
    x = 4,029,237.76/2,980.98
  6. Step 6: Final answer
    x = 1,351.65

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1.5x scale

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.