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Finding the Fourth Proportional to 13,158.50, 19,740 and 5,762.78

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Solution

The fourth proportional to 13,158.50, 19,740 and 5,762.78 is: 8,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.50 : 19,740 = 5,762.78 : x
  2. Step 2: Convert to fraction form
    13,158.50/19,740 = 5,762.78/x
  3. Step 3: Cross multiply
    13,158.50x = 19,740 × 5,762.78
  4. Step 4: Simplify right side
    13,158.50x = 113,757,277.20
  5. Step 5: Solve for x
    x = 113,757,277.20/13,158.50
  6. Step 6: Final answer
    x = 8,645.16

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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.