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Finding the Fourth Proportional to 13,643.86, 20,457.02 and 5,751.50

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Solution

The fourth proportional to 13,643.86, 20,457.02 and 5,751.50 is: 8,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.86 : 20,457.02 = 5,751.50 : x
  2. Step 2: Convert to fraction form
    13,643.86/20,457.02 = 5,751.50/x
  3. Step 3: Cross multiply
    13,643.86x = 20,457.02 × 5,751.50
  4. Step 4: Simplify right side
    13,643.86x = 117,658,550.53
  5. Step 5: Solve for x
    x = 117,658,550.53/13,643.86
  6. Step 6: Final answer
    x = 8,623.55

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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.