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Finding the Fourth Proportional to 30,442.80, 45,667.20 and 8,256.48

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Solution

The fourth proportional to 30,442.80, 45,667.20 and 8,256.48 is: 12,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.80 : 45,667.20 = 8,256.48 : x
  2. Step 2: Convert to fraction form
    30,442.80/45,667.20 = 8,256.48/x
  3. Step 3: Cross multiply
    30,442.80x = 45,667.20 × 8,256.48
  4. Step 4: Simplify right side
    30,442.80x = 377,050,323.46
  5. Step 5: Solve for x
    x = 377,050,323.46/30,442.80
  6. Step 6: Final answer
    x = 12,385.53

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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.