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Finding the Fourth Proportional to 13,832.98, 20,750.76 and 5,510.98

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Solution

The fourth proportional to 13,832.98, 20,750.76 and 5,510.98 is: 8,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.98 : 20,750.76 = 5,510.98 : x
  2. Step 2: Convert to fraction form
    13,832.98/20,750.76 = 5,510.98/x
  3. Step 3: Cross multiply
    13,832.98x = 20,750.76 × 5,510.98
  4. Step 4: Simplify right side
    13,832.98x = 114,357,023.34
  5. Step 5: Solve for x
    x = 114,357,023.34/13,832.98
  6. Step 6: Final answer
    x = 8,266.98

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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.