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Finding the Fourth Proportional to 9,416.43, 12,992.58 and 5,436.68

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Solution

The fourth proportional to 9,416.43, 12,992.58 and 5,436.68 is: 7,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.43 : 12,992.58 = 5,436.68 : x
  2. Step 2: Convert to fraction form
    9,416.43/12,992.58 = 5,436.68/x
  3. Step 3: Cross multiply
    9,416.43x = 12,992.58 × 5,436.68
  4. Step 4: Simplify right side
    9,416.43x = 70,636,434.87
  5. Step 5: Solve for x
    x = 70,636,434.87/9,416.43
  6. Step 6: Final answer
    x = 7,501.40

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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.