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Finding the Fourth Proportional to 30,576.96, 45,860.52 and 8,385.16

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Solution

The fourth proportional to 30,576.96, 45,860.52 and 8,385.16 is: 12,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.96 : 45,860.52 = 8,385.16 : x
  2. Step 2: Convert to fraction form
    30,576.96/45,860.52 = 8,385.16/x
  3. Step 3: Cross multiply
    30,576.96x = 45,860.52 × 8,385.16
  4. Step 4: Simplify right side
    30,576.96x = 384,547,797.88
  5. Step 5: Solve for x
    x = 384,547,797.88/30,576.96
  6. Step 6: Final answer
    x = 12,576.39

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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.