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Finding the Fourth Proportional to 14,671.60, 21,989.40 and 9,991.60

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Solution

The fourth proportional to 14,671.60, 21,989.40 and 9,991.60 is: 14,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.60 : 21,989.40 = 9,991.60 : x
  2. Step 2: Convert to fraction form
    14,671.60/21,989.40 = 9,991.60/x
  3. Step 3: Cross multiply
    14,671.60x = 21,989.40 × 9,991.60
  4. Step 4: Simplify right side
    14,671.60x = 219,709,289.04
  5. Step 5: Solve for x
    x = 219,709,289.04/14,671.60
  6. Step 6: Final answer
    x = 14,975.14

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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.