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Finding the Fourth Proportional to 20,851.90, 31,278.02 and 7,000.90

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Solution

The fourth proportional to 20,851.90, 31,278.02 and 7,000.90 is: 10,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.90 : 31,278.02 = 7,000.90 : x
  2. Step 2: Convert to fraction form
    20,851.90/31,278.02 = 7,000.90/x
  3. Step 3: Cross multiply
    20,851.90x = 31,278.02 × 7,000.90
  4. Step 4: Simplify right side
    20,851.90x = 218,974,290.22
  5. Step 5: Solve for x
    x = 218,974,290.22/20,851.90
  6. Step 6: Final answer
    x = 10,501.41

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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.