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Finding the Fourth Proportional to 30,382, 45,581.10 and 9,605.50

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Solution

The fourth proportional to 30,382, 45,581.10 and 9,605.50 is: 14,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382 : 45,581.10 = 9,605.50 : x
  2. Step 2: Convert to fraction form
    30,382/45,581.10 = 9,605.50/x
  3. Step 3: Cross multiply
    30,382x = 45,581.10 × 9,605.50
  4. Step 4: Simplify right side
    30,382x = 437,829,256.05
  5. Step 5: Solve for x
    x = 437,829,256.05/30,382
  6. Step 6: Final answer
    x = 14,410.81

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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.