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Finding the Fourth Proportional to 4,878.72, 7,318.80 and 2,281.44

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Solution

The fourth proportional to 4,878.72, 7,318.80 and 2,281.44 is: 3,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.72 : 7,318.80 = 2,281.44 : x
  2. Step 2: Convert to fraction form
    4,878.72/7,318.80 = 2,281.44/x
  3. Step 3: Cross multiply
    4,878.72x = 7,318.80 × 2,281.44
  4. Step 4: Simplify right side
    4,878.72x = 16,697,403.07
  5. Step 5: Solve for x
    x = 16,697,403.07/4,878.72
  6. Step 6: Final answer
    x = 3,422.50

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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.