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Finding the Fourth Proportional to 12,882.45, 19,314.45 and 4,978.20

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Solution

The fourth proportional to 12,882.45, 19,314.45 and 4,978.20 is: 7,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.45 : 19,314.45 = 4,978.20 : x
  2. Step 2: Convert to fraction form
    12,882.45/19,314.45 = 4,978.20/x
  3. Step 3: Cross multiply
    12,882.45x = 19,314.45 × 4,978.20
  4. Step 4: Simplify right side
    12,882.45x = 96,151,194.99
  5. Step 5: Solve for x
    x = 96,151,194.99/12,882.45
  6. Step 6: Final answer
    x = 7,463.74

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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.