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Finding the Fourth Proportional to 13,658, 20,485.16 and 5,332.20

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Solution

The fourth proportional to 13,658, 20,485.16 and 5,332.20 is: 7,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658 : 20,485.16 = 5,332.20 : x
  2. Step 2: Convert to fraction form
    13,658/20,485.16 = 5,332.20/x
  3. Step 3: Cross multiply
    13,658x = 20,485.16 × 5,332.20
  4. Step 4: Simplify right side
    13,658x = 109,230,970.15
  5. Step 5: Solve for x
    x = 109,230,970.15/13,658
  6. Step 6: Final answer
    x = 7,997.58

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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.