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Finding the Fourth Proportional to 10,430, 15,644.83 and 2,532.58

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Solution

The fourth proportional to 10,430, 15,644.83 and 2,532.58 is: 3,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 15,644.83 = 2,532.58 : x
  2. Step 2: Convert to fraction form
    10,430/15,644.83 = 2,532.58/x
  3. Step 3: Cross multiply
    10,430x = 15,644.83 × 2,532.58
  4. Step 4: Simplify right side
    10,430x = 39,621,783.56
  5. Step 5: Solve for x
    x = 39,621,783.56/10,430
  6. Step 6: Final answer
    x = 3,798.83

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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.