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Finding the Fourth Proportional to 30,647.70, 42,309.96 and 20,628.80

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Solution

The fourth proportional to 30,647.70, 42,309.96 and 20,628.80 is: 28,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.70 : 42,309.96 = 20,628.80 : x
  2. Step 2: Convert to fraction form
    30,647.70/42,309.96 = 20,628.80/x
  3. Step 3: Cross multiply
    30,647.70x = 42,309.96 × 20,628.80
  4. Step 4: Simplify right side
    30,647.70x = 872,803,702.85
  5. Step 5: Solve for x
    x = 872,803,702.85/30,647.70
  6. Step 6: Final answer
    x = 28,478.60

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1.5x scale

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.