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Finding the Fourth Proportional to 20,587.94, 30,867.93 and 6,543.75

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Solution

The fourth proportional to 20,587.94, 30,867.93 and 6,543.75 is: 9,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.94 : 30,867.93 = 6,543.75 : x
  2. Step 2: Convert to fraction form
    20,587.94/30,867.93 = 6,543.75/x
  3. Step 3: Cross multiply
    20,587.94x = 30,867.93 × 6,543.75
  4. Step 4: Simplify right side
    20,587.94x = 201,991,984.22
  5. Step 5: Solve for x
    x = 201,991,984.22/20,587.94
  6. Step 6: Final answer
    x = 9,811.18

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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.