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Finding the Fourth Proportional to 2,878.58, 4,323.65 and 2,784.02

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Solution

The fourth proportional to 2,878.58, 4,323.65 and 2,784.02 is: 4,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.58 : 4,323.65 = 2,784.02 : x
  2. Step 2: Convert to fraction form
    2,878.58/4,323.65 = 2,784.02/x
  3. Step 3: Cross multiply
    2,878.58x = 4,323.65 × 2,784.02
  4. Step 4: Simplify right side
    2,878.58x = 12,037,092.53
  5. Step 5: Solve for x
    x = 12,037,092.53/2,878.58
  6. Step 6: Final answer
    x = 4,181.60

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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.