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Finding the Fourth Proportional to 9,871.22, 14,779.47 and 7,887.38

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Solution

The fourth proportional to 9,871.22, 14,779.47 and 7,887.38 is: 11,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.22 : 14,779.47 = 7,887.38 : x
  2. Step 2: Convert to fraction form
    9,871.22/14,779.47 = 7,887.38/x
  3. Step 3: Cross multiply
    9,871.22x = 14,779.47 × 7,887.38
  4. Step 4: Simplify right side
    9,871.22x = 116,571,296.09
  5. Step 5: Solve for x
    x = 116,571,296.09/9,871.22
  6. Step 6: Final answer
    x = 11,809.21

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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.