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Finding the Fourth Proportional to 13,643.10, 20,457.93 and 4,407.90

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Solution

The fourth proportional to 13,643.10, 20,457.93 and 4,407.90 is: 6,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.10 : 20,457.93 = 4,407.90 : x
  2. Step 2: Convert to fraction form
    13,643.10/20,457.93 = 4,407.90/x
  3. Step 3: Cross multiply
    13,643.10x = 20,457.93 × 4,407.90
  4. Step 4: Simplify right side
    13,643.10x = 90,176,509.65
  5. Step 5: Solve for x
    x = 90,176,509.65/13,643.10
  6. Step 6: Final answer
    x = 6,609.68

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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.