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Finding the Fourth Proportional to 13,582.92, 20,415.15 and 11,258.22

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Solution

The fourth proportional to 13,582.92, 20,415.15 and 11,258.22 is: 16,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.92 : 20,415.15 = 11,258.22 : x
  2. Step 2: Convert to fraction form
    13,582.92/20,415.15 = 11,258.22/x
  3. Step 3: Cross multiply
    13,582.92x = 20,415.15 × 11,258.22
  4. Step 4: Simplify right side
    13,582.92x = 229,838,250.03
  5. Step 5: Solve for x
    x = 229,838,250.03/13,582.92
  6. Step 6: Final answer
    x = 16,921.12

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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.