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Finding the Fourth Proportional to 10,646, 15,969.27 and 3,720.50

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Solution

The fourth proportional to 10,646, 15,969.27 and 3,720.50 is: 5,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646 : 15,969.27 = 3,720.50 : x
  2. Step 2: Convert to fraction form
    10,646/15,969.27 = 3,720.50/x
  3. Step 3: Cross multiply
    10,646x = 15,969.27 × 3,720.50
  4. Step 4: Simplify right side
    10,646x = 59,413,669.04
  5. Step 5: Solve for x
    x = 59,413,669.04/10,646
  6. Step 6: Final answer
    x = 5,580.84

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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.