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Finding the Fourth Proportional to 2,762.34, 3,810.93 and 1,582.77

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Solution

The fourth proportional to 2,762.34, 3,810.93 and 1,582.77 is: 2,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.34 : 3,810.93 = 1,582.77 : x
  2. Step 2: Convert to fraction form
    2,762.34/3,810.93 = 1,582.77/x
  3. Step 3: Cross multiply
    2,762.34x = 3,810.93 × 1,582.77
  4. Step 4: Simplify right side
    2,762.34x = 6,031,825.68
  5. Step 5: Solve for x
    x = 6,031,825.68/2,762.34
  6. Step 6: Final answer
    x = 2,183.59

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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.