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Finding the Fourth Proportional to 1,347.66, 1,858.68 and 1,012.41

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Solution

The fourth proportional to 1,347.66, 1,858.68 and 1,012.41 is: 1,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.66 : 1,858.68 = 1,012.41 : x
  2. Step 2: Convert to fraction form
    1,347.66/1,858.68 = 1,012.41/x
  3. Step 3: Cross multiply
    1,347.66x = 1,858.68 × 1,012.41
  4. Step 4: Simplify right side
    1,347.66x = 1,881,746.22
  5. Step 5: Solve for x
    x = 1,881,746.22/1,347.66
  6. Step 6: Final answer
    x = 1,396.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.