Home / 1,310.60-1,964.94-1,106.48

Finding the Fourth Proportional to 1,310.60, 1,964.94 and 1,106.48

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Solution

The fourth proportional to 1,310.60, 1,964.94 and 1,106.48 is: 1,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.60 : 1,964.94 = 1,106.48 : x
  2. Step 2: Convert to fraction form
    1,310.60/1,964.94 = 1,106.48/x
  3. Step 3: Cross multiply
    1,310.60x = 1,964.94 × 1,106.48
  4. Step 4: Simplify right side
    1,310.60x = 2,174,166.81
  5. Step 5: Solve for x
    x = 2,174,166.81/1,310.60
  6. Step 6: Final answer
    x = 1,658.91

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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.