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Finding the Fourth Proportional to 1,831.76, 2,762.01 and 1,678.67

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Solution

The fourth proportional to 1,831.76, 2,762.01 and 1,678.67 is: 2,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.76 : 2,762.01 = 1,678.67 : x
  2. Step 2: Convert to fraction form
    1,831.76/2,762.01 = 1,678.67/x
  3. Step 3: Cross multiply
    1,831.76x = 2,762.01 × 1,678.67
  4. Step 4: Simplify right side
    1,831.76x = 4,636,503.33
  5. Step 5: Solve for x
    x = 4,636,503.33/1,831.76
  6. Step 6: Final answer
    x = 2,531.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.