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Finding the Fourth Proportional to 13,678.52, 20,510.94 and 7,102.88

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Solution

The fourth proportional to 13,678.52, 20,510.94 and 7,102.88 is: 10,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.52 : 20,510.94 = 7,102.88 : x
  2. Step 2: Convert to fraction form
    13,678.52/20,510.94 = 7,102.88/x
  3. Step 3: Cross multiply
    13,678.52x = 20,510.94 × 7,102.88
  4. Step 4: Simplify right side
    13,678.52x = 145,686,745.51
  5. Step 5: Solve for x
    x = 145,686,745.51/13,678.52
  6. Step 6: Final answer
    x = 10,650.77

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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.