Home / 6,586.08-9,878.40-1,968

Finding the Fourth Proportional to 6,586.08, 9,878.40 and 1,968

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Solution

The fourth proportional to 6,586.08, 9,878.40 and 1,968 is: 2,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.08 : 9,878.40 = 1,968 : x
  2. Step 2: Convert to fraction form
    6,586.08/9,878.40 = 1,968/x
  3. Step 3: Cross multiply
    6,586.08x = 9,878.40 × 1,968
  4. Step 4: Simplify right side
    6,586.08x = 19,440,691.20
  5. Step 5: Solve for x
    x = 19,440,691.20/6,586.08
  6. Step 6: Final answer
    x = 2,951.78

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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.