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Finding the Fourth Proportional to 43,582, 65,382.72 and 15,880

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Solution

The fourth proportional to 43,582, 65,382.72 and 15,880 is: 23,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,582 : 65,382.72 = 15,880 : x
  2. Step 2: Convert to fraction form
    43,582/65,382.72 = 15,880/x
  3. Step 3: Cross multiply
    43,582x = 65,382.72 × 15,880
  4. Step 4: Simplify right side
    43,582x = 1,038,277,593.60
  5. Step 5: Solve for x
    x = 1,038,277,593.60/43,582
  6. Step 6: Final answer
    x = 23,823.54

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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.