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Finding the Fourth Proportional to 43,696.48, 65,538.24 and 15,988

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Solution

The fourth proportional to 43,696.48, 65,538.24 and 15,988 is: 23,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,696.48 : 65,538.24 = 15,988 : x
  2. Step 2: Convert to fraction form
    43,696.48/65,538.24 = 15,988/x
  3. Step 3: Cross multiply
    43,696.48x = 65,538.24 × 15,988
  4. Step 4: Simplify right side
    43,696.48x = 1,047,825,381.12
  5. Step 5: Solve for x
    x = 1,047,825,381.12/43,696.48
  6. Step 6: Final answer
    x = 23,979.63

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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.