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Finding the Fourth Proportional to 13,101.65, 19,642.10 and 12,209.00

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Solution

The fourth proportional to 13,101.65, 19,642.10 and 12,209.00 is: 18,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.65 : 19,642.10 = 12,209.00 : x
  2. Step 2: Convert to fraction form
    13,101.65/19,642.10 = 12,209.00/x
  3. Step 3: Cross multiply
    13,101.65x = 19,642.10 × 12,209.00
  4. Step 4: Simplify right side
    13,101.65x = 239,810,239.64
  5. Step 5: Solve for x
    x = 239,810,239.64/13,101.65
  6. Step 6: Final answer
    x = 18,303.82

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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.