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Finding the Fourth Proportional to 9,197.23, 12,693.11 and 5,421.56

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Solution

The fourth proportional to 9,197.23, 12,693.11 and 5,421.56 is: 7,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.23 : 12,693.11 = 5,421.56 : x
  2. Step 2: Convert to fraction form
    9,197.23/12,693.11 = 5,421.56/x
  3. Step 3: Cross multiply
    9,197.23x = 12,693.11 × 5,421.56
  4. Step 4: Simplify right side
    9,197.23x = 68,816,457.45
  5. Step 5: Solve for x
    x = 68,816,457.45/9,197.23
  6. Step 6: Final answer
    x = 7,482.30

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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.