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Finding the Fourth Proportional to 9,613, 13,253.92 and 8,021.94

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Solution

The fourth proportional to 9,613, 13,253.92 and 8,021.94 is: 11,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613 : 13,253.92 = 8,021.94 : x
  2. Step 2: Convert to fraction form
    9,613/13,253.92 = 8,021.94/x
  3. Step 3: Cross multiply
    9,613x = 13,253.92 × 8,021.94
  4. Step 4: Simplify right side
    9,613x = 106,322,151.00
  5. Step 5: Solve for x
    x = 106,322,151.00/9,613
  6. Step 6: Final answer
    x = 11,060.25

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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.