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Finding the Fourth Proportional to 32,810, 45,280.22 and 18,667.40

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Solution

The fourth proportional to 32,810, 45,280.22 and 18,667.40 is: 25,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810 : 45,280.22 = 18,667.40 : x
  2. Step 2: Convert to fraction form
    32,810/45,280.22 = 18,667.40/x
  3. Step 3: Cross multiply
    32,810x = 45,280.22 × 18,667.40
  4. Step 4: Simplify right side
    32,810x = 845,263,978.83
  5. Step 5: Solve for x
    x = 845,263,978.83/32,810
  6. Step 6: Final answer
    x = 25,762.39

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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.