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Finding the Fourth Proportional to 10,489, 15,730.62 and 3,917.80

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Solution

The fourth proportional to 10,489, 15,730.62 and 3,917.80 is: 5,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489 : 15,730.62 = 3,917.80 : x
  2. Step 2: Convert to fraction form
    10,489/15,730.62 = 3,917.80/x
  3. Step 3: Cross multiply
    10,489x = 15,730.62 × 3,917.80
  4. Step 4: Simplify right side
    10,489x = 61,629,423.04
  5. Step 5: Solve for x
    x = 61,629,423.04/10,489
  6. Step 6: Final answer
    x = 5,875.62

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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.