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Finding the Fourth Proportional to 2,864.68, 4,296.68 and 784.87

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Solution

The fourth proportional to 2,864.68, 4,296.68 and 784.87 is: 1,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.68 : 4,296.68 = 784.87 : x
  2. Step 2: Convert to fraction form
    2,864.68/4,296.68 = 784.87/x
  3. Step 3: Cross multiply
    2,864.68x = 4,296.68 × 784.87
  4. Step 4: Simplify right side
    2,864.68x = 3,372,347.68
  5. Step 5: Solve for x
    x = 3,372,347.68/2,864.68
  6. Step 6: Final answer
    x = 1,177.21

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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.