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Finding the Fourth Proportional to 30,294.72, 45,442.80 and 12,764.64

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Solution

The fourth proportional to 30,294.72, 45,442.80 and 12,764.64 is: 19,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.72 : 45,442.80 = 12,764.64 : x
  2. Step 2: Convert to fraction form
    30,294.72/45,442.80 = 12,764.64/x
  3. Step 3: Cross multiply
    30,294.72x = 45,442.80 × 12,764.64
  4. Step 4: Simplify right side
    30,294.72x = 580,060,982.59
  5. Step 5: Solve for x
    x = 580,060,982.59/30,294.72
  6. Step 6: Final answer
    x = 19,147.26

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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.