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Finding the Fourth Proportional to 20,347.20, 30,525.47 and 7,867.32

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Solution

The fourth proportional to 20,347.20, 30,525.47 and 7,867.32 is: 11,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.20 : 30,525.47 = 7,867.32 : x
  2. Step 2: Convert to fraction form
    20,347.20/30,525.47 = 7,867.32/x
  3. Step 3: Cross multiply
    20,347.20x = 30,525.47 × 7,867.32
  4. Step 4: Simplify right side
    20,347.20x = 240,153,601.30
  5. Step 5: Solve for x
    x = 240,153,601.30/20,347.20
  6. Step 6: Final answer
    x = 11,802.78

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1.5x scale

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.