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Finding the Fourth Proportional to 30,353.16, 45,503.78 and 11,646.62

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Solution

The fourth proportional to 30,353.16, 45,503.78 and 11,646.62 is: 17,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,353.16 : 45,503.78 = 11,646.62 : x
  2. Step 2: Convert to fraction form
    30,353.16/45,503.78 = 11,646.62/x
  3. Step 3: Cross multiply
    30,353.16x = 45,503.78 × 11,646.62
  4. Step 4: Simplify right side
    30,353.16x = 529,965,377.10
  5. Step 5: Solve for x
    x = 529,965,377.10/30,353.16
  6. Step 6: Final answer
    x = 17,459.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.