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Finding the Fourth Proportional to 14,827, 20,463.12 and 9,726.80

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Solution

The fourth proportional to 14,827, 20,463.12 and 9,726.80 is: 13,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827 : 20,463.12 = 9,726.80 : x
  2. Step 2: Convert to fraction form
    14,827/20,463.12 = 9,726.80/x
  3. Step 3: Cross multiply
    14,827x = 20,463.12 × 9,726.80
  4. Step 4: Simplify right side
    14,827x = 199,040,675.62
  5. Step 5: Solve for x
    x = 199,040,675.62/14,827
  6. Step 6: Final answer
    x = 13,424.20

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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.