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Finding the Fourth Proportional to 7,875.82, 11,813.46 and 3,714.31

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Solution

The fourth proportional to 7,875.82, 11,813.46 and 3,714.31 is: 5,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.82 : 11,813.46 = 3,714.31 : x
  2. Step 2: Convert to fraction form
    7,875.82/11,813.46 = 3,714.31/x
  3. Step 3: Cross multiply
    7,875.82x = 11,813.46 × 3,714.31
  4. Step 4: Simplify right side
    7,875.82x = 43,878,852.61
  5. Step 5: Solve for x
    x = 43,878,852.61/7,875.82
  6. Step 6: Final answer
    x = 5,571.34

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1.5x scale

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.