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Finding the Fourth Proportional to 13,443.61, 20,138.07 and 6,776

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Solution

The fourth proportional to 13,443.61, 20,138.07 and 6,776 is: 10,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.61 : 20,138.07 = 6,776 : x
  2. Step 2: Convert to fraction form
    13,443.61/20,138.07 = 6,776/x
  3. Step 3: Cross multiply
    13,443.61x = 20,138.07 × 6,776
  4. Step 4: Simplify right side
    13,443.61x = 136,455,562.32
  5. Step 5: Solve for x
    x = 136,455,562.32/13,443.61
  6. Step 6: Final answer
    x = 10,150.22

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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.