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Finding the Fourth Proportional to 30,333, 45,499.50 and 8,445

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Solution

The fourth proportional to 30,333, 45,499.50 and 8,445 is: 12,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,333 : 45,499.50 = 8,445 : x
  2. Step 2: Convert to fraction form
    30,333/45,499.50 = 8,445/x
  3. Step 3: Cross multiply
    30,333x = 45,499.50 × 8,445
  4. Step 4: Simplify right side
    30,333x = 384,243,277.50
  5. Step 5: Solve for x
    x = 384,243,277.50/30,333
  6. Step 6: Final answer
    x = 12,667.50

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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.