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Finding the Fourth Proportional to 10,342, 15,513.36 and 3,417.04

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Solution

The fourth proportional to 10,342, 15,513.36 and 3,417.04 is: 5,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342 : 15,513.36 = 3,417.04 : x
  2. Step 2: Convert to fraction form
    10,342/15,513.36 = 3,417.04/x
  3. Step 3: Cross multiply
    10,342x = 15,513.36 × 3,417.04
  4. Step 4: Simplify right side
    10,342x = 53,009,771.65
  5. Step 5: Solve for x
    x = 53,009,771.65/10,342
  6. Step 6: Final answer
    x = 5,125.68

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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.