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Finding the Fourth Proportional to 13,607.76, 20,409.30 and 6,210.48

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Solution

The fourth proportional to 13,607.76, 20,409.30 and 6,210.48 is: 9,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.76 : 20,409.30 = 6,210.48 : x
  2. Step 2: Convert to fraction form
    13,607.76/20,409.30 = 6,210.48/x
  3. Step 3: Cross multiply
    13,607.76x = 20,409.30 × 6,210.48
  4. Step 4: Simplify right side
    13,607.76x = 126,751,549.46
  5. Step 5: Solve for x
    x = 126,751,549.46/13,607.76
  6. Step 6: Final answer
    x = 9,314.65

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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.