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Finding the Fourth Proportional to 13,607.64, 18,779.26 and 7,639

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Solution

The fourth proportional to 13,607.64, 18,779.26 and 7,639 is: 10,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.64 : 18,779.26 = 7,639 : x
  2. Step 2: Convert to fraction form
    13,607.64/18,779.26 = 7,639/x
  3. Step 3: Cross multiply
    13,607.64x = 18,779.26 × 7,639
  4. Step 4: Simplify right side
    13,607.64x = 143,454,767.14
  5. Step 5: Solve for x
    x = 143,454,767.14/13,607.64
  6. Step 6: Final answer
    x = 10,542.22

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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.