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Finding the Fourth Proportional to 13,737, 20,605.10 and 6,341.56

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Solution

The fourth proportional to 13,737, 20,605.10 and 6,341.56 is: 9,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737 : 20,605.10 = 6,341.56 : x
  2. Step 2: Convert to fraction form
    13,737/20,605.10 = 6,341.56/x
  3. Step 3: Cross multiply
    13,737x = 20,605.10 × 6,341.56
  4. Step 4: Simplify right side
    13,737x = 130,668,477.96
  5. Step 5: Solve for x
    x = 130,668,477.96/13,737
  6. Step 6: Final answer
    x = 9,512.16

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1.5x scale

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.