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Finding the Fourth Proportional to 20,798.52, 31,199.14 and 7,470.12

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Solution

The fourth proportional to 20,798.52, 31,199.14 and 7,470.12 is: 11,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.52 : 31,199.14 = 7,470.12 : x
  2. Step 2: Convert to fraction form
    20,798.52/31,199.14 = 7,470.12/x
  3. Step 3: Cross multiply
    20,798.52x = 31,199.14 × 7,470.12
  4. Step 4: Simplify right side
    20,798.52x = 233,061,319.70
  5. Step 5: Solve for x
    x = 233,061,319.70/20,798.52
  6. Step 6: Final answer
    x = 11,205.67

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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.