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Finding the Fourth Proportional to 1,216.98, 1,827.30 and 972.78

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Solution

The fourth proportional to 1,216.98, 1,827.30 and 972.78 is: 1,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.98 : 1,827.30 = 972.78 : x
  2. Step 2: Convert to fraction form
    1,216.98/1,827.30 = 972.78/x
  3. Step 3: Cross multiply
    1,216.98x = 1,827.30 × 972.78
  4. Step 4: Simplify right side
    1,216.98x = 1,777,546.89
  5. Step 5: Solve for x
    x = 1,777,546.89/1,216.98
  6. Step 6: Final answer
    x = 1,460.63

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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.