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Finding the Fourth Proportional to 9,172.99, 12,659.07 and 5,637.34

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Solution

The fourth proportional to 9,172.99, 12,659.07 and 5,637.34 is: 7,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.99 : 12,659.07 = 5,637.34 : x
  2. Step 2: Convert to fraction form
    9,172.99/12,659.07 = 5,637.34/x
  3. Step 3: Cross multiply
    9,172.99x = 12,659.07 × 5,637.34
  4. Step 4: Simplify right side
    9,172.99x = 71,363,481.67
  5. Step 5: Solve for x
    x = 71,363,481.67/9,172.99
  6. Step 6: Final answer
    x = 7,779.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.