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Finding the Fourth Proportional to 11,140.50, 15,373.89 and 6,172.50

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Solution

The fourth proportional to 11,140.50, 15,373.89 and 6,172.50 is: 8,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.50 : 15,373.89 = 6,172.50 : x
  2. Step 2: Convert to fraction form
    11,140.50/15,373.89 = 6,172.50/x
  3. Step 3: Cross multiply
    11,140.50x = 15,373.89 × 6,172.50
  4. Step 4: Simplify right side
    11,140.50x = 94,895,336.03
  5. Step 5: Solve for x
    x = 94,895,336.03/11,140.50
  6. Step 6: Final answer
    x = 8,518.05

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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.