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Finding the Fourth Proportional to 13,491.69, 20,220.20 and 6,461.16

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Solution

The fourth proportional to 13,491.69, 20,220.20 and 6,461.16 is: 9,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.69 : 20,220.20 = 6,461.16 : x
  2. Step 2: Convert to fraction form
    13,491.69/20,220.20 = 6,461.16/x
  3. Step 3: Cross multiply
    13,491.69x = 20,220.20 × 6,461.16
  4. Step 4: Simplify right side
    13,491.69x = 130,645,915.13
  5. Step 5: Solve for x
    x = 130,645,915.13/13,491.69
  6. Step 6: Final answer
    x = 9,683.44

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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.