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Finding the Fourth Proportional to 14,498.70, 21,756.41 and 7,835.21

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Solution

The fourth proportional to 14,498.70, 21,756.41 and 7,835.21 is: 11,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498.70 : 21,756.41 = 7,835.21 : x
  2. Step 2: Convert to fraction form
    14,498.70/21,756.41 = 7,835.21/x
  3. Step 3: Cross multiply
    14,498.70x = 21,756.41 × 7,835.21
  4. Step 4: Simplify right side
    14,498.70x = 170,466,002.02
  5. Step 5: Solve for x
    x = 170,466,002.02/14,498.70
  6. Step 6: Final answer
    x = 11,757.33

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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.