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Finding the Fourth Proportional to 14,224.68, 21,323.16 and 7,987.68

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Solution

The fourth proportional to 14,224.68, 21,323.16 and 7,987.68 is: 11,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.68 : 21,323.16 = 7,987.68 : x
  2. Step 2: Convert to fraction form
    14,224.68/21,323.16 = 7,987.68/x
  3. Step 3: Cross multiply
    14,224.68x = 21,323.16 × 7,987.68
  4. Step 4: Simplify right side
    14,224.68x = 170,322,578.67
  5. Step 5: Solve for x
    x = 170,322,578.67/14,224.68
  6. Step 6: Final answer
    x = 11,973.74

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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.