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Finding the Fourth Proportional to 10,188, 14,082.98 and 8,499.56

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Solution

The fourth proportional to 10,188, 14,082.98 and 8,499.56 is: 11,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188 : 14,082.98 = 8,499.56 : x
  2. Step 2: Convert to fraction form
    10,188/14,082.98 = 8,499.56/x
  3. Step 3: Cross multiply
    10,188x = 14,082.98 × 8,499.56
  4. Step 4: Simplify right side
    10,188x = 119,699,020.58
  5. Step 5: Solve for x
    x = 119,699,020.58/10,188
  6. Step 6: Final answer
    x = 11,749.02

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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.