Home / 5,091.78-7,638.43-1,582.14

Finding the Fourth Proportional to 5,091.78, 7,638.43 and 1,582.14

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Solution

The fourth proportional to 5,091.78, 7,638.43 and 1,582.14 is: 2,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.78 : 7,638.43 = 1,582.14 : x
  2. Step 2: Convert to fraction form
    5,091.78/7,638.43 = 1,582.14/x
  3. Step 3: Cross multiply
    5,091.78x = 7,638.43 × 1,582.14
  4. Step 4: Simplify right side
    5,091.78x = 12,085,065.64
  5. Step 5: Solve for x
    x = 12,085,065.64/5,091.78
  6. Step 6: Final answer
    x = 2,373.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.