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Finding the Fourth Proportional to 20,470.48, 30,699.18 and 7,987.46

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Solution

The fourth proportional to 20,470.48, 30,699.18 and 7,987.46 is: 11,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.48 : 30,699.18 = 7,987.46 : x
  2. Step 2: Convert to fraction form
    20,470.48/30,699.18 = 7,987.46/x
  3. Step 3: Cross multiply
    20,470.48x = 30,699.18 × 7,987.46
  4. Step 4: Simplify right side
    20,470.48x = 245,208,549.03
  5. Step 5: Solve for x
    x = 245,208,549.03/20,470.48
  6. Step 6: Final answer
    x = 11,978.64

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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.