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Finding the Fourth Proportional to 5,607, 8,409.42 and 1,909.20

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Solution

The fourth proportional to 5,607, 8,409.42 and 1,909.20 is: 2,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607 : 8,409.42 = 1,909.20 : x
  2. Step 2: Convert to fraction form
    5,607/8,409.42 = 1,909.20/x
  3. Step 3: Cross multiply
    5,607x = 8,409.42 × 1,909.20
  4. Step 4: Simplify right side
    5,607x = 16,055,264.66
  5. Step 5: Solve for x
    x = 16,055,264.66/5,607
  6. Step 6: Final answer
    x = 2,863.43

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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.