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Finding the Fourth Proportional to 4,909.78, 7,364.64 and 1,831.78

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Solution

The fourth proportional to 4,909.78, 7,364.64 and 1,831.78 is: 2,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.78 : 7,364.64 = 1,831.78 : x
  2. Step 2: Convert to fraction form
    4,909.78/7,364.64 = 1,831.78/x
  3. Step 3: Cross multiply
    4,909.78x = 7,364.64 × 1,831.78
  4. Step 4: Simplify right side
    4,909.78x = 13,490,400.26
  5. Step 5: Solve for x
    x = 13,490,400.26/4,909.78
  6. Step 6: Final answer
    x = 2,747.66

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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.