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Finding the Fourth Proportional to 9,811.50, 13,539.87 and 5,395.50

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Solution

The fourth proportional to 9,811.50, 13,539.87 and 5,395.50 is: 7,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.50 : 13,539.87 = 5,395.50 : x
  2. Step 2: Convert to fraction form
    9,811.50/13,539.87 = 5,395.50/x
  3. Step 3: Cross multiply
    9,811.50x = 13,539.87 × 5,395.50
  4. Step 4: Simplify right side
    9,811.50x = 73,054,368.59
  5. Step 5: Solve for x
    x = 73,054,368.59/9,811.50
  6. Step 6: Final answer
    x = 7,445.79

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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.