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Finding the Fourth Proportional to 17,762.80, 26,665.80 and 13,345.60

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Solution

The fourth proportional to 17,762.80, 26,665.80 and 13,345.60 is: 20,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.80 : 26,665.80 = 13,345.60 : x
  2. Step 2: Convert to fraction form
    17,762.80/26,665.80 = 13,345.60/x
  3. Step 3: Cross multiply
    17,762.80x = 26,665.80 × 13,345.60
  4. Step 4: Simplify right side
    17,762.80x = 355,871,100.48
  5. Step 5: Solve for x
    x = 355,871,100.48/17,762.80
  6. Step 6: Final answer
    x = 20,034.63

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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.