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Finding the Fourth Proportional to 30,269.88, 45,404.82 and 9,495

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Solution

The fourth proportional to 30,269.88, 45,404.82 and 9,495 is: 14,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.88 : 45,404.82 = 9,495 : x
  2. Step 2: Convert to fraction form
    30,269.88/45,404.82 = 9,495/x
  3. Step 3: Cross multiply
    30,269.88x = 45,404.82 × 9,495
  4. Step 4: Simplify right side
    30,269.88x = 431,118,765.90
  5. Step 5: Solve for x
    x = 431,118,765.90/30,269.88
  6. Step 6: Final answer
    x = 14,242.50

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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.