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Finding the Fourth Proportional to 1,386.61, 1,913.76 and 1,324.33

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Solution

The fourth proportional to 1,386.61, 1,913.76 and 1,324.33 is: 1,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.61 : 1,913.76 = 1,324.33 : x
  2. Step 2: Convert to fraction form
    1,386.61/1,913.76 = 1,324.33/x
  3. Step 3: Cross multiply
    1,386.61x = 1,913.76 × 1,324.33
  4. Step 4: Simplify right side
    1,386.61x = 2,534,449.78
  5. Step 5: Solve for x
    x = 2,534,449.78/1,386.61
  6. Step 6: Final answer
    x = 1,827.80

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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.