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Finding the Fourth Proportional to 13,891.50, 20,840.49 and 4,657.50

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Solution

The fourth proportional to 13,891.50, 20,840.49 and 4,657.50 is: 6,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.50 : 20,840.49 = 4,657.50 : x
  2. Step 2: Convert to fraction form
    13,891.50/20,840.49 = 4,657.50/x
  3. Step 3: Cross multiply
    13,891.50x = 20,840.49 × 4,657.50
  4. Step 4: Simplify right side
    13,891.50x = 97,064,582.18
  5. Step 5: Solve for x
    x = 97,064,582.18/13,891.50
  6. Step 6: Final answer
    x = 6,987.34

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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.