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Finding the Fourth Proportional to 30,287.88, 45,436.14 and 9,513

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Solution

The fourth proportional to 30,287.88, 45,436.14 and 9,513 is: 14,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.88 : 45,436.14 = 9,513 : x
  2. Step 2: Convert to fraction form
    30,287.88/45,436.14 = 9,513/x
  3. Step 3: Cross multiply
    30,287.88x = 45,436.14 × 9,513
  4. Step 4: Simplify right side
    30,287.88x = 432,233,999.82
  5. Step 5: Solve for x
    x = 432,233,999.82/30,287.88
  6. Step 6: Final answer
    x = 14,270.86

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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.