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Finding the Fourth Proportional to 13,804.56, 20,706.76 and 8,259.46

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Solution

The fourth proportional to 13,804.56, 20,706.76 and 8,259.46 is: 12,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.56 : 20,706.76 = 8,259.46 : x
  2. Step 2: Convert to fraction form
    13,804.56/20,706.76 = 8,259.46/x
  3. Step 3: Cross multiply
    13,804.56x = 20,706.76 × 8,259.46
  4. Step 4: Simplify right side
    13,804.56x = 171,026,655.95
  5. Step 5: Solve for x
    x = 171,026,655.95/13,804.56
  6. Step 6: Final answer
    x = 12,389.14

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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.