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Finding the Fourth Proportional to 12,855.78, 19,282.46 and 4,535.46

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Solution

The fourth proportional to 12,855.78, 19,282.46 and 4,535.46 is: 6,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.78 : 19,282.46 = 4,535.46 : x
  2. Step 2: Convert to fraction form
    12,855.78/19,282.46 = 4,535.46/x
  3. Step 3: Cross multiply
    12,855.78x = 19,282.46 × 4,535.46
  4. Step 4: Simplify right side
    12,855.78x = 87,454,803.35
  5. Step 5: Solve for x
    x = 87,454,803.35/12,855.78
  6. Step 6: Final answer
    x = 6,802.76

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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.