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Finding the Fourth Proportional to 47,763.10, 65,909.19 and 28,647.10

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Solution

The fourth proportional to 47,763.10, 65,909.19 and 28,647.10 is: 39,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763.10 : 65,909.19 = 28,647.10 : x
  2. Step 2: Convert to fraction form
    47,763.10/65,909.19 = 28,647.10/x
  3. Step 3: Cross multiply
    47,763.10x = 65,909.19 × 28,647.10
  4. Step 4: Simplify right side
    47,763.10x = 1,888,107,156.85
  5. Step 5: Solve for x
    x = 1,888,107,156.85/47,763.10
  6. Step 6: Final answer
    x = 39,530.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.