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Finding the Fourth Proportional to 30,355.53, 45,538.77 and 13,723.40

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Solution

The fourth proportional to 30,355.53, 45,538.77 and 13,723.40 is: 20,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,355.53 : 45,538.77 = 13,723.40 : x
  2. Step 2: Convert to fraction form
    30,355.53/45,538.77 = 13,723.40/x
  3. Step 3: Cross multiply
    30,355.53x = 45,538.77 × 13,723.40
  4. Step 4: Simplify right side
    30,355.53x = 624,946,579.99
  5. Step 5: Solve for x
    x = 624,946,579.99/30,355.53
  6. Step 6: Final answer
    x = 20,587.57

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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.