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Finding the Fourth Proportional to 30,739.98, 46,109.82 and 9,681.81

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Solution

The fourth proportional to 30,739.98, 46,109.82 and 9,681.81 is: 14,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.98 : 46,109.82 = 9,681.81 : x
  2. Step 2: Convert to fraction form
    30,739.98/46,109.82 = 9,681.81/x
  3. Step 3: Cross multiply
    30,739.98x = 46,109.82 × 9,681.81
  4. Step 4: Simplify right side
    30,739.98x = 446,426,516.37
  5. Step 5: Solve for x
    x = 446,426,516.37/30,739.98
  6. Step 6: Final answer
    x = 14,522.67

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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.