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Finding the Fourth Proportional to 30,461.72, 45,687.85 and 11,750.51

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Solution

The fourth proportional to 30,461.72, 45,687.85 and 11,750.51 is: 17,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.72 : 45,687.85 = 11,750.51 : x
  2. Step 2: Convert to fraction form
    30,461.72/45,687.85 = 11,750.51/x
  3. Step 3: Cross multiply
    30,461.72x = 45,687.85 × 11,750.51
  4. Step 4: Simplify right side
    30,461.72x = 536,855,623.15
  5. Step 5: Solve for x
    x = 536,855,623.15/30,461.72
  6. Step 6: Final answer
    x = 17,623.95

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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.