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Finding the Fourth Proportional to 14,502, 20,012.76 and 7,878

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Solution

The fourth proportional to 14,502, 20,012.76 and 7,878 is: 10,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502 : 20,012.76 = 7,878 : x
  2. Step 2: Convert to fraction form
    14,502/20,012.76 = 7,878/x
  3. Step 3: Cross multiply
    14,502x = 20,012.76 × 7,878
  4. Step 4: Simplify right side
    14,502x = 157,660,523.28
  5. Step 5: Solve for x
    x = 157,660,523.28/14,502
  6. Step 6: Final answer
    x = 10,871.64

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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.