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Finding the Fourth Proportional to 43,978.32, 65,970.30 and 15,511.77

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Solution

The fourth proportional to 43,978.32, 65,970.30 and 15,511.77 is: 23,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,978.32 : 65,970.30 = 15,511.77 : x
  2. Step 2: Convert to fraction form
    43,978.32/65,970.30 = 15,511.77/x
  3. Step 3: Cross multiply
    43,978.32x = 65,970.30 × 15,511.77
  4. Step 4: Simplify right side
    43,978.32x = 1,023,316,120.43
  5. Step 5: Solve for x
    x = 1,023,316,120.43/43,978.32
  6. Step 6: Final answer
    x = 23,268.65

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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.