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Finding the Fourth Proportional to 13,499.80, 20,258.74 and 5,602.32

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Solution

The fourth proportional to 13,499.80, 20,258.74 and 5,602.32 is: 8,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.80 : 20,258.74 = 5,602.32 : x
  2. Step 2: Convert to fraction form
    13,499.80/20,258.74 = 5,602.32/x
  3. Step 3: Cross multiply
    13,499.80x = 20,258.74 × 5,602.32
  4. Step 4: Simplify right side
    13,499.80x = 113,495,992.50
  5. Step 5: Solve for x
    x = 113,495,992.50/13,499.80
  6. Step 6: Final answer
    x = 8,407.23

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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.