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Finding the Fourth Proportional to 15,809, 23,713.54 and 4,865

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Solution

The fourth proportional to 15,809, 23,713.54 and 4,865 is: 7,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809 : 23,713.54 = 4,865 : x
  2. Step 2: Convert to fraction form
    15,809/23,713.54 = 4,865/x
  3. Step 3: Cross multiply
    15,809x = 23,713.54 × 4,865
  4. Step 4: Simplify right side
    15,809x = 115,366,372.10
  5. Step 5: Solve for x
    x = 115,366,372.10/15,809
  6. Step 6: Final answer
    x = 7,297.51

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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.