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Finding the Fourth Proportional to 9,871.50, 13,622.67 and 5,455.50

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Solution

The fourth proportional to 9,871.50, 13,622.67 and 5,455.50 is: 7,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.50 : 13,622.67 = 5,455.50 : x
  2. Step 2: Convert to fraction form
    9,871.50/13,622.67 = 5,455.50/x
  3. Step 3: Cross multiply
    9,871.50x = 13,622.67 × 5,455.50
  4. Step 4: Simplify right side
    9,871.50x = 74,318,476.19
  5. Step 5: Solve for x
    x = 74,318,476.19/9,871.50
  6. Step 6: Final answer
    x = 7,528.59

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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.