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Finding the Fourth Proportional to 13,078.50, 17,978.81 and 11,254.89

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Solution

The fourth proportional to 13,078.50, 17,978.81 and 11,254.89 is: 15,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.50 : 17,978.81 = 11,254.89 : x
  2. Step 2: Convert to fraction form
    13,078.50/17,978.81 = 11,254.89/x
  3. Step 3: Cross multiply
    13,078.50x = 17,978.81 × 11,254.89
  4. Step 4: Simplify right side
    13,078.50x = 202,349,528.88
  5. Step 5: Solve for x
    x = 202,349,528.88/13,078.50
  6. Step 6: Final answer
    x = 15,471.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.