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Finding the Fourth Proportional to 17,955.84, 24,811.20 and 13,987.20

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Solution

The fourth proportional to 17,955.84, 24,811.20 and 13,987.20 is: 19,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955.84 : 24,811.20 = 13,987.20 : x
  2. Step 2: Convert to fraction form
    17,955.84/24,811.20 = 13,987.20/x
  3. Step 3: Cross multiply
    17,955.84x = 24,811.20 × 13,987.20
  4. Step 4: Simplify right side
    17,955.84x = 347,039,216.64
  5. Step 5: Solve for x
    x = 347,039,216.64/17,955.84
  6. Step 6: Final answer
    x = 19,327.37

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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.