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Finding the Fourth Proportional to 12,378.54, 18,573.27 and 4,997.40

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Solution

The fourth proportional to 12,378.54, 18,573.27 and 4,997.40 is: 7,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.54 : 18,573.27 = 4,997.40 : x
  2. Step 2: Convert to fraction form
    12,378.54/18,573.27 = 4,997.40/x
  3. Step 3: Cross multiply
    12,378.54x = 18,573.27 × 4,997.40
  4. Step 4: Simplify right side
    12,378.54x = 92,818,059.50
  5. Step 5: Solve for x
    x = 92,818,059.50/12,378.54
  6. Step 6: Final answer
    x = 7,498.30

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Half scale
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Double scale
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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.