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Finding the Fourth Proportional to 13,407.20, 20,123.60 and 11,461.60

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Solution

The fourth proportional to 13,407.20, 20,123.60 and 11,461.60 is: 17,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.20 : 20,123.60 = 11,461.60 : x
  2. Step 2: Convert to fraction form
    13,407.20/20,123.60 = 11,461.60/x
  3. Step 3: Cross multiply
    13,407.20x = 20,123.60 × 11,461.60
  4. Step 4: Simplify right side
    13,407.20x = 230,648,653.76
  5. Step 5: Solve for x
    x = 230,648,653.76/13,407.20
  6. Step 6: Final answer
    x = 17,203.34

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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.