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Finding the Fourth Proportional to 14,535.21, 21,784.53 and 7,871.45

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Solution

The fourth proportional to 14,535.21, 21,784.53 and 7,871.45 is: 11,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535.21 : 21,784.53 = 7,871.45 : x
  2. Step 2: Convert to fraction form
    14,535.21/21,784.53 = 7,871.45/x
  3. Step 3: Cross multiply
    14,535.21x = 21,784.53 × 7,871.45
  4. Step 4: Simplify right side
    14,535.21x = 171,475,729.75
  5. Step 5: Solve for x
    x = 171,475,729.75/14,535.21
  6. Step 6: Final answer
    x = 11,797.27

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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.