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Finding the Fourth Proportional to 30,257.50, 45,386.26 and 9,481

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Solution

The fourth proportional to 30,257.50, 45,386.26 and 9,481 is: 14,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.50 : 45,386.26 = 9,481 : x
  2. Step 2: Convert to fraction form
    30,257.50/45,386.26 = 9,481/x
  3. Step 3: Cross multiply
    30,257.50x = 45,386.26 × 9,481
  4. Step 4: Simplify right side
    30,257.50x = 430,307,131.06
  5. Step 5: Solve for x
    x = 430,307,131.06/30,257.50
  6. Step 6: Final answer
    x = 14,221.50

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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.