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Finding the Fourth Proportional to 10,579, 15,868.50 and 4,423

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Solution

The fourth proportional to 10,579, 15,868.50 and 4,423 is: 6,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579 : 15,868.50 = 4,423 : x
  2. Step 2: Convert to fraction form
    10,579/15,868.50 = 4,423/x
  3. Step 3: Cross multiply
    10,579x = 15,868.50 × 4,423
  4. Step 4: Simplify right side
    10,579x = 70,186,375.50
  5. Step 5: Solve for x
    x = 70,186,375.50/10,579
  6. Step 6: Final answer
    x = 6,634.50

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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.