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Finding the Fourth Proportional to 10,341, 15,513.93 and 3,415.50

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Solution

The fourth proportional to 10,341, 15,513.93 and 3,415.50 is: 5,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 15,513.93 = 3,415.50 : x
  2. Step 2: Convert to fraction form
    10,341/15,513.93 = 3,415.50/x
  3. Step 3: Cross multiply
    10,341x = 15,513.93 × 3,415.50
  4. Step 4: Simplify right side
    10,341x = 52,987,827.92
  5. Step 5: Solve for x
    x = 52,987,827.92/10,341
  6. Step 6: Final answer
    x = 5,124.05

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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.