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Finding the Fourth Proportional to 20,588.50, 30,883.02 and 6,737.50

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Solution

The fourth proportional to 20,588.50, 30,883.02 and 6,737.50 is: 10,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.50 : 30,883.02 = 6,737.50 : x
  2. Step 2: Convert to fraction form
    20,588.50/30,883.02 = 6,737.50/x
  3. Step 3: Cross multiply
    20,588.50x = 30,883.02 × 6,737.50
  4. Step 4: Simplify right side
    20,588.50x = 208,074,347.25
  5. Step 5: Solve for x
    x = 208,074,347.25/20,588.50
  6. Step 6: Final answer
    x = 10,106.34

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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.