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Finding the Fourth Proportional to 6,813, 9,402.75 and 4,460.36

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Solution

The fourth proportional to 6,813, 9,402.75 and 4,460.36 is: 6,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 9,402.75 = 4,460.36 : x
  2. Step 2: Convert to fraction form
    6,813/9,402.75 = 4,460.36/x
  3. Step 3: Cross multiply
    6,813x = 9,402.75 × 4,460.36
  4. Step 4: Simplify right side
    6,813x = 41,939,602.98
  5. Step 5: Solve for x
    x = 41,939,602.98/6,813
  6. Step 6: Final answer
    x = 6,155.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.