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Finding the Fourth Proportional to 13,203.32, 19,804.98 and 5,309.44

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Solution

The fourth proportional to 13,203.32, 19,804.98 and 5,309.44 is: 7,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.32 : 19,804.98 = 5,309.44 : x
  2. Step 2: Convert to fraction form
    13,203.32/19,804.98 = 5,309.44/x
  3. Step 3: Cross multiply
    13,203.32x = 19,804.98 × 5,309.44
  4. Step 4: Simplify right side
    13,203.32x = 105,153,353.01
  5. Step 5: Solve for x
    x = 105,153,353.01/13,203.32
  6. Step 6: Final answer
    x = 7,964.16

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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.