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Finding the Fourth Proportional to 6,471, 9,699.77 and 4,391.19

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Solution

The fourth proportional to 6,471, 9,699.77 and 4,391.19 is: 6,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471 : 9,699.77 = 4,391.19 : x
  2. Step 2: Convert to fraction form
    6,471/9,699.77 = 4,391.19/x
  3. Step 3: Cross multiply
    6,471x = 9,699.77 × 4,391.19
  4. Step 4: Simplify right side
    6,471x = 42,593,511.07
  5. Step 5: Solve for x
    x = 42,593,511.07/6,471
  6. Step 6: Final answer
    x = 6,582.21

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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.