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Finding the Fourth Proportional to 20,302.50, 30,453.93 and 7,990.50

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Solution

The fourth proportional to 20,302.50, 30,453.93 and 7,990.50 is: 11,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.50 : 30,453.93 = 7,990.50 : x
  2. Step 2: Convert to fraction form
    20,302.50/30,453.93 = 7,990.50/x
  3. Step 3: Cross multiply
    20,302.50x = 30,453.93 × 7,990.50
  4. Step 4: Simplify right side
    20,302.50x = 243,342,127.67
  5. Step 5: Solve for x
    x = 243,342,127.67/20,302.50
  6. Step 6: Final answer
    x = 11,985.82

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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.