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Finding the Fourth Proportional to 1,386.57, 1,911.63 and 1,149.63

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Solution

The fourth proportional to 1,386.57, 1,911.63 and 1,149.63 is: 1,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.57 : 1,911.63 = 1,149.63 : x
  2. Step 2: Convert to fraction form
    1,386.57/1,911.63 = 1,149.63/x
  3. Step 3: Cross multiply
    1,386.57x = 1,911.63 × 1,149.63
  4. Step 4: Simplify right side
    1,386.57x = 2,197,667.20
  5. Step 5: Solve for x
    x = 2,197,667.20/1,386.57
  6. Step 6: Final answer
    x = 1,584.97

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1.5x scale

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.