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Finding the Fourth Proportional to 1,317.46, 1,977.04 and 1,211.88

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Solution

The fourth proportional to 1,317.46, 1,977.04 and 1,211.88 is: 1,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.46 : 1,977.04 = 1,211.88 : x
  2. Step 2: Convert to fraction form
    1,317.46/1,977.04 = 1,211.88/x
  3. Step 3: Cross multiply
    1,317.46x = 1,977.04 × 1,211.88
  4. Step 4: Simplify right side
    1,317.46x = 2,395,935.24
  5. Step 5: Solve for x
    x = 2,395,935.24/1,317.46
  6. Step 6: Final answer
    x = 1,818.60

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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.