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Finding the Fourth Proportional to 30,036.50, 45,061.19 and 8,978.19

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Solution

The fourth proportional to 30,036.50, 45,061.19 and 8,978.19 is: 13,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,036.50 : 45,061.19 = 8,978.19 : x
  2. Step 2: Convert to fraction form
    30,036.50/45,061.19 = 8,978.19/x
  3. Step 3: Cross multiply
    30,036.50x = 45,061.19 × 8,978.19
  4. Step 4: Simplify right side
    30,036.50x = 404,567,925.45
  5. Step 5: Solve for x
    x = 404,567,925.45/30,036.50
  6. Step 6: Final answer
    x = 13,469.21

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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.