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Finding the Fourth Proportional to 12,674.13, 19,011.20 and 3,314.13

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Solution

The fourth proportional to 12,674.13, 19,011.20 and 3,314.13 is: 4,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.13 : 19,011.20 = 3,314.13 : x
  2. Step 2: Convert to fraction form
    12,674.13/19,011.20 = 3,314.13/x
  3. Step 3: Cross multiply
    12,674.13x = 19,011.20 × 3,314.13
  4. Step 4: Simplify right side
    12,674.13x = 63,005,588.26
  5. Step 5: Solve for x
    x = 63,005,588.26/12,674.13
  6. Step 6: Final answer
    x = 4,971.20

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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.