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Finding the Fourth Proportional to 43,586.48, 65,373.24 and 15,878

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Solution

The fourth proportional to 43,586.48, 65,373.24 and 15,878 is: 23,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,586.48 : 65,373.24 = 15,878 : x
  2. Step 2: Convert to fraction form
    43,586.48/65,373.24 = 15,878/x
  3. Step 3: Cross multiply
    43,586.48x = 65,373.24 × 15,878
  4. Step 4: Simplify right side
    43,586.48x = 1,037,996,304.72
  5. Step 5: Solve for x
    x = 1,037,996,304.72/43,586.48
  6. Step 6: Final answer
    x = 23,814.64

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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.