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Finding the Fourth Proportional to 14,823.66, 20,457.05 and 8,109.66

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Solution

The fourth proportional to 14,823.66, 20,457.05 and 8,109.66 is: 11,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.66 : 20,457.05 = 8,109.66 : x
  2. Step 2: Convert to fraction form
    14,823.66/20,457.05 = 8,109.66/x
  3. Step 3: Cross multiply
    14,823.66x = 20,457.05 × 8,109.66
  4. Step 4: Simplify right side
    14,823.66x = 165,899,679.55
  5. Step 5: Solve for x
    x = 165,899,679.55/14,823.66
  6. Step 6: Final answer
    x = 11,191.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.