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Finding the Fourth Proportional to 7,875.72, 11,818.26 and 3,980.52

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Solution

The fourth proportional to 7,875.72, 11,818.26 and 3,980.52 is: 5,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.72 : 11,818.26 = 3,980.52 : x
  2. Step 2: Convert to fraction form
    7,875.72/11,818.26 = 3,980.52/x
  3. Step 3: Cross multiply
    7,875.72x = 11,818.26 × 3,980.52
  4. Step 4: Simplify right side
    7,875.72x = 47,042,820.30
  5. Step 5: Solve for x
    x = 47,042,820.30/7,875.72
  6. Step 6: Final answer
    x = 5,973.15

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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.