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Finding the Fourth Proportional to 2,864.78, 4,297.30 and 784.74

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Solution

The fourth proportional to 2,864.78, 4,297.30 and 784.74 is: 1,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.78 : 4,297.30 = 784.74 : x
  2. Step 2: Convert to fraction form
    2,864.78/4,297.30 = 784.74/x
  3. Step 3: Cross multiply
    2,864.78x = 4,297.30 × 784.74
  4. Step 4: Simplify right side
    2,864.78x = 3,372,263.20
  5. Step 5: Solve for x
    x = 3,372,263.20/2,864.78
  6. Step 6: Final answer
    x = 1,177.15

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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.