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Finding the Fourth Proportional to 14,795.40, 20,416.50 and 8,506.56

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Solution

The fourth proportional to 14,795.40, 20,416.50 and 8,506.56 is: 11,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,795.40 : 20,416.50 = 8,506.56 : x
  2. Step 2: Convert to fraction form
    14,795.40/20,416.50 = 8,506.56/x
  3. Step 3: Cross multiply
    14,795.40x = 20,416.50 × 8,506.56
  4. Step 4: Simplify right side
    14,795.40x = 173,674,182.24
  5. Step 5: Solve for x
    x = 173,674,182.24/14,795.40
  6. Step 6: Final answer
    x = 11,738.39

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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.