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Finding the Fourth Proportional to 9,708.79, 13,422.01 and 9,619.99

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Solution

The fourth proportional to 9,708.79, 13,422.01 and 9,619.99 is: 13,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.79 : 13,422.01 = 9,619.99 : x
  2. Step 2: Convert to fraction form
    9,708.79/13,422.01 = 9,619.99/x
  3. Step 3: Cross multiply
    9,708.79x = 13,422.01 × 9,619.99
  4. Step 4: Simplify right side
    9,708.79x = 129,119,601.98
  5. Step 5: Solve for x
    x = 129,119,601.98/9,708.79
  6. Step 6: Final answer
    x = 13,299.25

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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.