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Finding the Fourth Proportional to 42,647.86, 63,971.79 and 11,483.11

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Solution

The fourth proportional to 42,647.86, 63,971.79 and 11,483.11 is: 17,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,647.86 : 63,971.79 = 11,483.11 : x
  2. Step 2: Convert to fraction form
    42,647.86/63,971.79 = 11,483.11/x
  3. Step 3: Cross multiply
    42,647.86x = 63,971.79 × 11,483.11
  4. Step 4: Simplify right side
    42,647.86x = 734,594,941.54
  5. Step 5: Solve for x
    x = 734,594,941.54/42,647.86
  6. Step 6: Final answer
    x = 17,224.66

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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.