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Finding the Fourth Proportional to 43,807.18, 65,720.52 and 12,640

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Solution

The fourth proportional to 43,807.18, 65,720.52 and 12,640 is: 18,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.18 : 65,720.52 = 12,640 : x
  2. Step 2: Convert to fraction form
    43,807.18/65,720.52 = 12,640/x
  3. Step 3: Cross multiply
    43,807.18x = 65,720.52 × 12,640
  4. Step 4: Simplify right side
    43,807.18x = 830,707,372.80
  5. Step 5: Solve for x
    x = 830,707,372.80/43,807.18
  6. Step 6: Final answer
    x = 18,962.81

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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.