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Finding the Fourth Proportional to 7,809.51, 11,714.15 and 1,886.34

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Solution

The fourth proportional to 7,809.51, 11,714.15 and 1,886.34 is: 2,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.51 : 11,714.15 = 1,886.34 : x
  2. Step 2: Convert to fraction form
    7,809.51/11,714.15 = 1,886.34/x
  3. Step 3: Cross multiply
    7,809.51x = 11,714.15 × 1,886.34
  4. Step 4: Simplify right side
    7,809.51x = 22,096,874.43
  5. Step 5: Solve for x
    x = 22,096,874.43/7,809.51
  6. Step 6: Final answer
    x = 2,829.48

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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.