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Finding the Fourth Proportional to 2,864.93, 4,297.47 and 784.96

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Solution

The fourth proportional to 2,864.93, 4,297.47 and 784.96 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.93 : 4,297.47 = 784.96 : x
  2. Step 2: Convert to fraction form
    2,864.93/4,297.47 = 784.96/x
  3. Step 3: Cross multiply
    2,864.93x = 4,297.47 × 784.96
  4. Step 4: Simplify right side
    2,864.93x = 3,373,342.05
  5. Step 5: Solve for x
    x = 3,373,342.05/2,864.93
  6. Step 6: Final answer
    x = 1,177.46

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1.5x scale

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.