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Finding the Fourth Proportional to 2,864.70, 4,297.05 and 784.71

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Solution

The fourth proportional to 2,864.70, 4,297.05 and 784.71 is: 1,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.70 : 4,297.05 = 784.71 : x
  2. Step 2: Convert to fraction form
    2,864.70/4,297.05 = 784.71/x
  3. Step 3: Cross multiply
    2,864.70x = 4,297.05 × 784.71
  4. Step 4: Simplify right side
    2,864.70x = 3,371,938.11
  5. Step 5: Solve for x
    x = 3,371,938.11/2,864.70
  6. Step 6: Final answer
    x = 1,177.07

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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.