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Finding the Fourth Proportional to 13,799, 20,700.66 and 4,567.16

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Solution

The fourth proportional to 13,799, 20,700.66 and 4,567.16 is: 6,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799 : 20,700.66 = 4,567.16 : x
  2. Step 2: Convert to fraction form
    13,799/20,700.66 = 4,567.16/x
  3. Step 3: Cross multiply
    13,799x = 20,700.66 × 4,567.16
  4. Step 4: Simplify right side
    13,799x = 94,543,226.33
  5. Step 5: Solve for x
    x = 94,543,226.33/13,799
  6. Step 6: Final answer
    x = 6,851.45

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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.