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Finding the Fourth Proportional to 19,900.80, 29,840.40 and 6,746.40

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Solution

The fourth proportional to 19,900.80, 29,840.40 and 6,746.40 is: 10,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.80 : 29,840.40 = 6,746.40 : x
  2. Step 2: Convert to fraction form
    19,900.80/29,840.40 = 6,746.40/x
  3. Step 3: Cross multiply
    19,900.80x = 29,840.40 × 6,746.40
  4. Step 4: Simplify right side
    19,900.80x = 201,315,274.56
  5. Step 5: Solve for x
    x = 201,315,274.56/19,900.80
  6. Step 6: Final answer
    x = 10,115.94

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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.