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Finding the Fourth Proportional to 2,725.47, 4,088.48 and 777.96

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Solution

The fourth proportional to 2,725.47, 4,088.48 and 777.96 is: 1,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.47 : 4,088.48 = 777.96 : x
  2. Step 2: Convert to fraction form
    2,725.47/4,088.48 = 777.96/x
  3. Step 3: Cross multiply
    2,725.47x = 4,088.48 × 777.96
  4. Step 4: Simplify right side
    2,725.47x = 3,180,670.01
  5. Step 5: Solve for x
    x = 3,180,670.01/2,725.47
  6. Step 6: Final answer
    x = 1,167.02

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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.