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Finding the Fourth Proportional to 7,875.86, 11,809.69 and 3,714.75

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Solution

The fourth proportional to 7,875.86, 11,809.69 and 3,714.75 is: 5,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.86 : 11,809.69 = 3,714.75 : x
  2. Step 2: Convert to fraction form
    7,875.86/11,809.69 = 3,714.75/x
  3. Step 3: Cross multiply
    7,875.86x = 11,809.69 × 3,714.75
  4. Step 4: Simplify right side
    7,875.86x = 43,870,072.71
  5. Step 5: Solve for x
    x = 43,870,072.71/7,875.86
  6. Step 6: Final answer
    x = 5,570.19

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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.