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Finding the Fourth Proportional to 2,865.47, 4,298.11 and 813.47

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Solution

The fourth proportional to 2,865.47, 4,298.11 and 813.47 is: 1,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.47 : 4,298.11 = 813.47 : x
  2. Step 2: Convert to fraction form
    2,865.47/4,298.11 = 813.47/x
  3. Step 3: Cross multiply
    2,865.47x = 4,298.11 × 813.47
  4. Step 4: Simplify right side
    2,865.47x = 3,496,360.02
  5. Step 5: Solve for x
    x = 3,496,360.02/2,865.47
  6. Step 6: Final answer
    x = 1,220.17

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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.