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Finding the Fourth Proportional to 4,652.03, 6,978.27 and 1,878.35

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Solution

The fourth proportional to 4,652.03, 6,978.27 and 1,878.35 is: 2,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.03 : 6,978.27 = 1,878.35 : x
  2. Step 2: Convert to fraction form
    4,652.03/6,978.27 = 1,878.35/x
  3. Step 3: Cross multiply
    4,652.03x = 6,978.27 × 1,878.35
  4. Step 4: Simplify right side
    4,652.03x = 13,107,663.98
  5. Step 5: Solve for x
    x = 13,107,663.98/4,652.03
  6. Step 6: Final answer
    x = 2,817.62

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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.