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Finding the Fourth Proportional to 13,152.80, 19,729.20 and 9,216.20

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Solution

The fourth proportional to 13,152.80, 19,729.20 and 9,216.20 is: 13,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.80 : 19,729.20 = 9,216.20 : x
  2. Step 2: Convert to fraction form
    13,152.80/19,729.20 = 9,216.20/x
  3. Step 3: Cross multiply
    13,152.80x = 19,729.20 × 9,216.20
  4. Step 4: Simplify right side
    13,152.80x = 181,828,253.04
  5. Step 5: Solve for x
    x = 181,828,253.04/13,152.80
  6. Step 6: Final answer
    x = 13,824.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.