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Finding the Fourth Proportional to 10,357, 15,537.96 and 3,431.50

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Solution

The fourth proportional to 10,357, 15,537.96 and 3,431.50 is: 5,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357 : 15,537.96 = 3,431.50 : x
  2. Step 2: Convert to fraction form
    10,357/15,537.96 = 3,431.50/x
  3. Step 3: Cross multiply
    10,357x = 15,537.96 × 3,431.50
  4. Step 4: Simplify right side
    10,357x = 53,318,509.74
  5. Step 5: Solve for x
    x = 53,318,509.74/10,357
  6. Step 6: Final answer
    x = 5,148.07

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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.