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Finding the Fourth Proportional to 16,762.56, 25,120 and 12,345.28

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Solution

The fourth proportional to 16,762.56, 25,120 and 12,345.28 is: 18,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.56 : 25,120 = 12,345.28 : x
  2. Step 2: Convert to fraction form
    16,762.56/25,120 = 12,345.28/x
  3. Step 3: Cross multiply
    16,762.56x = 25,120 × 12,345.28
  4. Step 4: Simplify right side
    16,762.56x = 310,113,433.60
  5. Step 5: Solve for x
    x = 310,113,433.60/16,762.56
  6. Step 6: Final answer
    x = 18,500.36

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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.