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Finding the Fourth Proportional to 13,178, 19,767.02 and 5,386.80

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Solution

The fourth proportional to 13,178, 19,767.02 and 5,386.80 is: 8,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178 : 19,767.02 = 5,386.80 : x
  2. Step 2: Convert to fraction form
    13,178/19,767.02 = 5,386.80/x
  3. Step 3: Cross multiply
    13,178x = 19,767.02 × 5,386.80
  4. Step 4: Simplify right side
    13,178x = 106,480,983.34
  5. Step 5: Solve for x
    x = 106,480,983.34/13,178
  6. Step 6: Final answer
    x = 8,080.21

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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.