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Finding the Fourth Proportional to 14,803.56, 20,393.78 and 10,319.20

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Solution

The fourth proportional to 14,803.56, 20,393.78 and 10,319.20 is: 14,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.56 : 20,393.78 = 10,319.20 : x
  2. Step 2: Convert to fraction form
    14,803.56/20,393.78 = 10,319.20/x
  3. Step 3: Cross multiply
    14,803.56x = 20,393.78 × 10,319.20
  4. Step 4: Simplify right side
    14,803.56x = 210,447,392.00
  5. Step 5: Solve for x
    x = 210,447,392.00/14,803.56
  6. Step 6: Final answer
    x = 14,216.00

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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.