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Finding the Fourth Proportional to 13,436.40, 20,140.20 and 5,113.20

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Solution

The fourth proportional to 13,436.40, 20,140.20 and 5,113.20 is: 7,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.40 : 20,140.20 = 5,113.20 : x
  2. Step 2: Convert to fraction form
    13,436.40/20,140.20 = 5,113.20/x
  3. Step 3: Cross multiply
    13,436.40x = 20,140.20 × 5,113.20
  4. Step 4: Simplify right side
    13,436.40x = 102,980,870.64
  5. Step 5: Solve for x
    x = 102,980,870.64/13,436.40
  6. Step 6: Final answer
    x = 7,664.32

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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.