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Finding the Fourth Proportional to 2,386.94, 3,294 and 1,339.22

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Solution

The fourth proportional to 2,386.94, 3,294 and 1,339.22 is: 1,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.94 : 3,294 = 1,339.22 : x
  2. Step 2: Convert to fraction form
    2,386.94/3,294 = 1,339.22/x
  3. Step 3: Cross multiply
    2,386.94x = 3,294 × 1,339.22
  4. Step 4: Simplify right side
    2,386.94x = 4,411,390.68
  5. Step 5: Solve for x
    x = 4,411,390.68/2,386.94
  6. Step 6: Final answer
    x = 1,848.14

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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.