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Finding the Fourth Proportional to 30,977.64, 42,749.78 and 16,831.40

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Solution

The fourth proportional to 30,977.64, 42,749.78 and 16,831.40 is: 23,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.64 : 42,749.78 = 16,831.40 : x
  2. Step 2: Convert to fraction form
    30,977.64/42,749.78 = 16,831.40/x
  3. Step 3: Cross multiply
    30,977.64x = 42,749.78 × 16,831.40
  4. Step 4: Simplify right side
    30,977.64x = 719,538,349.19
  5. Step 5: Solve for x
    x = 719,538,349.19/30,977.64
  6. Step 6: Final answer
    x = 23,227.67

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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.