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Finding the Fourth Proportional to 14,643.60, 21,991.80 and 12,829.20

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Solution

The fourth proportional to 14,643.60, 21,991.80 and 12,829.20 is: 19,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.60 : 21,991.80 = 12,829.20 : x
  2. Step 2: Convert to fraction form
    14,643.60/21,991.80 = 12,829.20/x
  3. Step 3: Cross multiply
    14,643.60x = 21,991.80 × 12,829.20
  4. Step 4: Simplify right side
    14,643.60x = 282,137,200.56
  5. Step 5: Solve for x
    x = 282,137,200.56/14,643.60
  6. Step 6: Final answer
    x = 19,266.93

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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.