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Finding the Fourth Proportional to 2,776.82, 3,831.63 and 2,358.86

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Solution

The fourth proportional to 2,776.82, 3,831.63 and 2,358.86 is: 3,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.82 : 3,831.63 = 2,358.86 : x
  2. Step 2: Convert to fraction form
    2,776.82/3,831.63 = 2,358.86/x
  3. Step 3: Cross multiply
    2,776.82x = 3,831.63 × 2,358.86
  4. Step 4: Simplify right side
    2,776.82x = 9,038,278.74
  5. Step 5: Solve for x
    x = 9,038,278.74/2,776.82
  6. Step 6: Final answer
    x = 3,254.90

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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.