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Finding the Fourth Proportional to 13,840.50, 19,100.16 and 8,251.50

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Solution

The fourth proportional to 13,840.50, 19,100.16 and 8,251.50 is: 11,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.50 : 19,100.16 = 8,251.50 : x
  2. Step 2: Convert to fraction form
    13,840.50/19,100.16 = 8,251.50/x
  3. Step 3: Cross multiply
    13,840.50x = 19,100.16 × 8,251.50
  4. Step 4: Simplify right side
    13,840.50x = 157,604,970.24
  5. Step 5: Solve for x
    x = 157,604,970.24/13,840.50
  6. Step 6: Final answer
    x = 11,387.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.