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Finding the Fourth Proportional to 20,953.60, 31,430.40 and 20,147.20

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Solution

The fourth proportional to 20,953.60, 31,430.40 and 20,147.20 is: 30,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.60 : 31,430.40 = 20,147.20 : x
  2. Step 2: Convert to fraction form
    20,953.60/31,430.40 = 20,147.20/x
  3. Step 3: Cross multiply
    20,953.60x = 31,430.40 × 20,147.20
  4. Step 4: Simplify right side
    20,953.60x = 633,234,554.88
  5. Step 5: Solve for x
    x = 633,234,554.88/20,953.60
  6. Step 6: Final answer
    x = 30,220.80

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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.