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Finding the Fourth Proportional to 13,064.50, 19,600.80 and 3,830.50

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Solution

The fourth proportional to 13,064.50, 19,600.80 and 3,830.50 is: 5,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.50 : 19,600.80 = 3,830.50 : x
  2. Step 2: Convert to fraction form
    13,064.50/19,600.80 = 3,830.50/x
  3. Step 3: Cross multiply
    13,064.50x = 19,600.80 × 3,830.50
  4. Step 4: Simplify right side
    13,064.50x = 75,080,864.40
  5. Step 5: Solve for x
    x = 75,080,864.40/13,064.50
  6. Step 6: Final answer
    x = 5,746.94

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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.