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Finding the Fourth Proportional to 9,831.12, 13,564.81 and 5,851.45

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Solution

The fourth proportional to 9,831.12, 13,564.81 and 5,851.45 is: 8,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.12 : 13,564.81 = 5,851.45 : x
  2. Step 2: Convert to fraction form
    9,831.12/13,564.81 = 5,851.45/x
  3. Step 3: Cross multiply
    9,831.12x = 13,564.81 × 5,851.45
  4. Step 4: Simplify right side
    9,831.12x = 79,373,807.47
  5. Step 5: Solve for x
    x = 79,373,807.47/9,831.12
  6. Step 6: Final answer
    x = 8,073.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.