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Finding the Fourth Proportional to 30,640.33, 45,963.14 and 8,453.71

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Solution

The fourth proportional to 30,640.33, 45,963.14 and 8,453.71 is: 12,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.33 : 45,963.14 = 8,453.71 : x
  2. Step 2: Convert to fraction form
    30,640.33/45,963.14 = 8,453.71/x
  3. Step 3: Cross multiply
    30,640.33x = 45,963.14 × 8,453.71
  4. Step 4: Simplify right side
    30,640.33x = 388,558,962.48
  5. Step 5: Solve for x
    x = 388,558,962.48/30,640.33
  6. Step 6: Final answer
    x = 12,681.29

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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.