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Finding the Fourth Proportional to 9,722.88, 14,549.76 and 7,119.36

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Solution

The fourth proportional to 9,722.88, 14,549.76 and 7,119.36 is: 10,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.88 : 14,549.76 = 7,119.36 : x
  2. Step 2: Convert to fraction form
    9,722.88/14,549.76 = 7,119.36/x
  3. Step 3: Cross multiply
    9,722.88x = 14,549.76 × 7,119.36
  4. Step 4: Simplify right side
    9,722.88x = 103,584,979.35
  5. Step 5: Solve for x
    x = 103,584,979.35/9,722.88
  6. Step 6: Final answer
    x = 10,653.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.