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Finding the Fourth Proportional to 10,503, 15,756.66 and 4,347

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Solution

The fourth proportional to 10,503, 15,756.66 and 4,347 is: 6,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 15,756.66 = 4,347 : x
  2. Step 2: Convert to fraction form
    10,503/15,756.66 = 4,347/x
  3. Step 3: Cross multiply
    10,503x = 15,756.66 × 4,347
  4. Step 4: Simplify right side
    10,503x = 68,494,201.02
  5. Step 5: Solve for x
    x = 68,494,201.02/10,503
  6. Step 6: Final answer
    x = 6,521.39

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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.