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Finding the Fourth Proportional to 9,662.81, 14,489.71 and 5,661.39

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Solution

The fourth proportional to 9,662.81, 14,489.71 and 5,661.39 is: 8,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.81 : 14,489.71 = 5,661.39 : x
  2. Step 2: Convert to fraction form
    9,662.81/14,489.71 = 5,661.39/x
  3. Step 3: Cross multiply
    9,662.81x = 14,489.71 × 5,661.39
  4. Step 4: Simplify right side
    9,662.81x = 82,031,955.40
  5. Step 5: Solve for x
    x = 82,031,955.40/9,662.81
  6. Step 6: Final answer
    x = 8,489.45

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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.