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Finding the Fourth Proportional to 14,495.76, 20,012.88 and 9,965.76

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Solution

The fourth proportional to 14,495.76, 20,012.88 and 9,965.76 is: 13,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.76 : 20,012.88 = 9,965.76 : x
  2. Step 2: Convert to fraction form
    14,495.76/20,012.88 = 9,965.76/x
  3. Step 3: Cross multiply
    14,495.76x = 20,012.88 × 9,965.76
  4. Step 4: Simplify right side
    14,495.76x = 199,443,558.99
  5. Step 5: Solve for x
    x = 199,443,558.99/14,495.76
  6. Step 6: Final answer
    x = 13,758.75

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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.