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Finding the Fourth Proportional to 5,804.82, 8,707.43 and 1,909.53

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Solution

The fourth proportional to 5,804.82, 8,707.43 and 1,909.53 is: 2,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.82 : 8,707.43 = 1,909.53 : x
  2. Step 2: Convert to fraction form
    5,804.82/8,707.43 = 1,909.53/x
  3. Step 3: Cross multiply
    5,804.82x = 8,707.43 × 1,909.53
  4. Step 4: Simplify right side
    5,804.82x = 16,627,089.26
  5. Step 5: Solve for x
    x = 16,627,089.26/5,804.82
  6. Step 6: Final answer
    x = 2,864.36

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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.