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Finding the Fourth Proportional to 30,566.64, 45,851.82 and 8,379.12

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Solution

The fourth proportional to 30,566.64, 45,851.82 and 8,379.12 is: 12,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.64 : 45,851.82 = 8,379.12 : x
  2. Step 2: Convert to fraction form
    30,566.64/45,851.82 = 8,379.12/x
  3. Step 3: Cross multiply
    30,566.64x = 45,851.82 × 8,379.12
  4. Step 4: Simplify right side
    30,566.64x = 384,197,902.00
  5. Step 5: Solve for x
    x = 384,197,902.00/30,566.64
  6. Step 6: Final answer
    x = 12,569.19

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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.