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Finding the Fourth Proportional to 30,173.28, 45,255 and 7,988.06

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Solution

The fourth proportional to 30,173.28, 45,255 and 7,988.06 is: 11,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,173.28 : 45,255 = 7,988.06 : x
  2. Step 2: Convert to fraction form
    30,173.28/45,255 = 7,988.06/x
  3. Step 3: Cross multiply
    30,173.28x = 45,255 × 7,988.06
  4. Step 4: Simplify right side
    30,173.28x = 361,499,655.30
  5. Step 5: Solve for x
    x = 361,499,655.30/30,173.28
  6. Step 6: Final answer
    x = 11,980.79

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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.