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Finding the Fourth Proportional to 30,665.76, 45,998.64 and 9,605.98

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Solution

The fourth proportional to 30,665.76, 45,998.64 and 9,605.98 is: 14,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.76 : 45,998.64 = 9,605.98 : x
  2. Step 2: Convert to fraction form
    30,665.76/45,998.64 = 9,605.98/x
  3. Step 3: Cross multiply
    30,665.76x = 45,998.64 × 9,605.98
  4. Step 4: Simplify right side
    30,665.76x = 441,862,015.87
  5. Step 5: Solve for x
    x = 441,862,015.87/30,665.76
  6. Step 6: Final answer
    x = 14,408.97

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1.5x scale

Why These Related Problems?

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