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Finding the Fourth Proportional to 1,311.51, 1,968.17 and 848.14

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Solution

The fourth proportional to 1,311.51, 1,968.17 and 848.14 is: 1,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.51 : 1,968.17 = 848.14 : x
  2. Step 2: Convert to fraction form
    1,311.51/1,968.17 = 848.14/x
  3. Step 3: Cross multiply
    1,311.51x = 1,968.17 × 848.14
  4. Step 4: Simplify right side
    1,311.51x = 1,669,283.36
  5. Step 5: Solve for x
    x = 1,669,283.36/1,311.51
  6. Step 6: Final answer
    x = 1,272.80

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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.