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Finding the Fourth Proportional to 4,951.78, 7,428 and 1,831.71

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Solution

The fourth proportional to 4,951.78, 7,428 and 1,831.71 is: 2,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.78 : 7,428 = 1,831.71 : x
  2. Step 2: Convert to fraction form
    4,951.78/7,428 = 1,831.71/x
  3. Step 3: Cross multiply
    4,951.78x = 7,428 × 1,831.71
  4. Step 4: Simplify right side
    4,951.78x = 13,605,941.88
  5. Step 5: Solve for x
    x = 13,605,941.88/4,951.78
  6. Step 6: Final answer
    x = 2,747.69

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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.