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Finding the Fourth Proportional to 2,657.15, 3,985.12 and 782.56

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Solution

The fourth proportional to 2,657.15, 3,985.12 and 782.56 is: 1,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.15 : 3,985.12 = 782.56 : x
  2. Step 2: Convert to fraction form
    2,657.15/3,985.12 = 782.56/x
  3. Step 3: Cross multiply
    2,657.15x = 3,985.12 × 782.56
  4. Step 4: Simplify right side
    2,657.15x = 3,118,585.54
  5. Step 5: Solve for x
    x = 3,118,585.54/2,657.15
  6. Step 6: Final answer
    x = 1,173.66

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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.