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Finding the Fourth Proportional to 10,715.41, 14,777.40 and 7,352.29

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Solution

The fourth proportional to 10,715.41, 14,777.40 and 7,352.29 is: 10,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.41 : 14,777.40 = 7,352.29 : x
  2. Step 2: Convert to fraction form
    10,715.41/14,777.40 = 7,352.29/x
  3. Step 3: Cross multiply
    10,715.41x = 14,777.40 × 7,352.29
  4. Step 4: Simplify right side
    10,715.41x = 108,647,730.25
  5. Step 5: Solve for x
    x = 108,647,730.25/10,715.41
  6. Step 6: Final answer
    x = 10,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.