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Finding the Fourth Proportional to 1,619.80, 2,424.90 and 971.80

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Solution

The fourth proportional to 1,619.80, 2,424.90 and 971.80 is: 1,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.80 : 2,424.90 = 971.80 : x
  2. Step 2: Convert to fraction form
    1,619.80/2,424.90 = 971.80/x
  3. Step 3: Cross multiply
    1,619.80x = 2,424.90 × 971.80
  4. Step 4: Simplify right side
    1,619.80x = 2,356,517.82
  5. Step 5: Solve for x
    x = 2,356,517.82/1,619.80
  6. Step 6: Final answer
    x = 1,454.82

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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.