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Finding the Fourth Proportional to 5,602, 8,405.40 and 2,138.32

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Solution

The fourth proportional to 5,602, 8,405.40 and 2,138.32 is: 3,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602 : 8,405.40 = 2,138.32 : x
  2. Step 2: Convert to fraction form
    5,602/8,405.40 = 2,138.32/x
  3. Step 3: Cross multiply
    5,602x = 8,405.40 × 2,138.32
  4. Step 4: Simplify right side
    5,602x = 17,973,434.93
  5. Step 5: Solve for x
    x = 17,973,434.93/5,602
  6. Step 6: Final answer
    x = 3,208.40

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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.