Home / 15,723.86-23,584-5,863.46

Finding the Fourth Proportional to 15,723.86, 23,584 and 5,863.46

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Solution

The fourth proportional to 15,723.86, 23,584 and 5,863.46 is: 8,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.86 : 23,584 = 5,863.46 : x
  2. Step 2: Convert to fraction form
    15,723.86/23,584 = 5,863.46/x
  3. Step 3: Cross multiply
    15,723.86x = 23,584 × 5,863.46
  4. Step 4: Simplify right side
    15,723.86x = 138,283,840.64
  5. Step 5: Solve for x
    x = 138,283,840.64/15,723.86
  6. Step 6: Final answer
    x = 8,794.52

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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.