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Finding the Fourth Proportional to 2,878.40, 4,317.60 and 930.75

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Solution

The fourth proportional to 2,878.40, 4,317.60 and 930.75 is: 1,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.40 : 4,317.60 = 930.75 : x
  2. Step 2: Convert to fraction form
    2,878.40/4,317.60 = 930.75/x
  3. Step 3: Cross multiply
    2,878.40x = 4,317.60 × 930.75
  4. Step 4: Simplify right side
    2,878.40x = 4,018,606.20
  5. Step 5: Solve for x
    x = 4,018,606.20/2,878.40
  6. Step 6: Final answer
    x = 1,396.13

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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.