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Finding the Fourth Proportional to 7,765, 10,714.62 and 4,781.32

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Solution

The fourth proportional to 7,765, 10,714.62 and 4,781.32 is: 6,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765 : 10,714.62 = 4,781.32 : x
  2. Step 2: Convert to fraction form
    7,765/10,714.62 = 4,781.32/x
  3. Step 3: Cross multiply
    7,765x = 10,714.62 × 4,781.32
  4. Step 4: Simplify right side
    7,765x = 51,230,026.90
  5. Step 5: Solve for x
    x = 51,230,026.90/7,765
  6. Step 6: Final answer
    x = 6,597.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.