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Finding the Fourth Proportional to 15,886.71, 23,825.50 and 6,399

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Solution

The fourth proportional to 15,886.71, 23,825.50 and 6,399 is: 9,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.71 : 23,825.50 = 6,399 : x
  2. Step 2: Convert to fraction form
    15,886.71/23,825.50 = 6,399/x
  3. Step 3: Cross multiply
    15,886.71x = 23,825.50 × 6,399
  4. Step 4: Simplify right side
    15,886.71x = 152,459,358.50
  5. Step 5: Solve for x
    x = 152,459,358.50/15,886.71
  6. Step 6: Final answer
    x = 9,596.66

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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.