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Finding the Fourth Proportional to 2,915.60, 4,371.60 and 1,682.40

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Solution

The fourth proportional to 2,915.60, 4,371.60 and 1,682.40 is: 2,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.60 : 4,371.60 = 1,682.40 : x
  2. Step 2: Convert to fraction form
    2,915.60/4,371.60 = 1,682.40/x
  3. Step 3: Cross multiply
    2,915.60x = 4,371.60 × 1,682.40
  4. Step 4: Simplify right side
    2,915.60x = 7,354,779.84
  5. Step 5: Solve for x
    x = 7,354,779.84/2,915.60
  6. Step 6: Final answer
    x = 2,522.56

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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.