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Finding the Fourth Proportional to 13,974, 19,284.12 and 7,686.96

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Solution

The fourth proportional to 13,974, 19,284.12 and 7,686.96 is: 10,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 19,284.12 = 7,686.96 : x
  2. Step 2: Convert to fraction form
    13,974/19,284.12 = 7,686.96/x
  3. Step 3: Cross multiply
    13,974x = 19,284.12 × 7,686.96
  4. Step 4: Simplify right side
    13,974x = 148,236,259.08
  5. Step 5: Solve for x
    x = 148,236,259.08/13,974
  6. Step 6: Final answer
    x = 10,608.00

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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.