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Finding the Fourth Proportional to 14,423.85, 19,905.17 and 8,459.82

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Solution

The fourth proportional to 14,423.85, 19,905.17 and 8,459.82 is: 11,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.85 : 19,905.17 = 8,459.82 : x
  2. Step 2: Convert to fraction form
    14,423.85/19,905.17 = 8,459.82/x
  3. Step 3: Cross multiply
    14,423.85x = 19,905.17 × 8,459.82
  4. Step 4: Simplify right side
    14,423.85x = 168,394,155.27
  5. Step 5: Solve for x
    x = 168,394,155.27/14,423.85
  6. Step 6: Final answer
    x = 11,674.70

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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.