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Finding the Fourth Proportional to 1,386.93, 1,913.24 and 827.05

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Solution

The fourth proportional to 1,386.93, 1,913.24 and 827.05 is: 1,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.93 : 1,913.24 = 827.05 : x
  2. Step 2: Convert to fraction form
    1,386.93/1,913.24 = 827.05/x
  3. Step 3: Cross multiply
    1,386.93x = 1,913.24 × 827.05
  4. Step 4: Simplify right side
    1,386.93x = 1,582,336.22
  5. Step 5: Solve for x
    x = 1,582,336.22/1,386.93
  6. Step 6: Final answer
    x = 1,140.89

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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.