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Finding the Fourth Proportional to 14,777.57, 20,378.81 and 9,943.20

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Solution

The fourth proportional to 14,777.57, 20,378.81 and 9,943.20 is: 13,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.57 : 20,378.81 = 9,943.20 : x
  2. Step 2: Convert to fraction form
    14,777.57/20,378.81 = 9,943.20/x
  3. Step 3: Cross multiply
    14,777.57x = 20,378.81 × 9,943.20
  4. Step 4: Simplify right side
    14,777.57x = 202,630,608.45
  5. Step 5: Solve for x
    x = 202,630,608.45/14,777.57
  6. Step 6: Final answer
    x = 13,712.04

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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.