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Finding the Fourth Proportional to 10,417.94, 15,628.53 and 3,490.82

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Solution

The fourth proportional to 10,417.94, 15,628.53 and 3,490.82 is: 5,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.94 : 15,628.53 = 3,490.82 : x
  2. Step 2: Convert to fraction form
    10,417.94/15,628.53 = 3,490.82/x
  3. Step 3: Cross multiply
    10,417.94x = 15,628.53 × 3,490.82
  4. Step 4: Simplify right side
    10,417.94x = 54,556,289.50
  5. Step 5: Solve for x
    x = 54,556,289.50/10,417.94
  6. Step 6: Final answer
    x = 5,236.77

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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.