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Finding the Fourth Proportional to 30,423.54, 45,635.76 and 8,239.16

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Solution

The fourth proportional to 30,423.54, 45,635.76 and 8,239.16 is: 12,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.54 : 45,635.76 = 8,239.16 : x
  2. Step 2: Convert to fraction form
    30,423.54/45,635.76 = 8,239.16/x
  3. Step 3: Cross multiply
    30,423.54x = 45,635.76 × 8,239.16
  4. Step 4: Simplify right side
    30,423.54x = 376,000,328.36
  5. Step 5: Solve for x
    x = 376,000,328.36/30,423.54
  6. Step 6: Final answer
    x = 12,358.86

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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.