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Finding the Fourth Proportional to 14,851.87, 20,494.80 and 8,478.21

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Solution

The fourth proportional to 14,851.87, 20,494.80 and 8,478.21 is: 11,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851.87 : 20,494.80 = 8,478.21 : x
  2. Step 2: Convert to fraction form
    14,851.87/20,494.80 = 8,478.21/x
  3. Step 3: Cross multiply
    14,851.87x = 20,494.80 × 8,478.21
  4. Step 4: Simplify right side
    14,851.87x = 173,759,218.31
  5. Step 5: Solve for x
    x = 173,759,218.31/14,851.87
  6. Step 6: Final answer
    x = 11,699.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.