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Finding the Fourth Proportional to 14,212.70, 21,328.56 and 4,978.70

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Solution

The fourth proportional to 14,212.70, 21,328.56 and 4,978.70 is: 7,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.70 : 21,328.56 = 4,978.70 : x
  2. Step 2: Convert to fraction form
    14,212.70/21,328.56 = 4,978.70/x
  3. Step 3: Cross multiply
    14,212.70x = 21,328.56 × 4,978.70
  4. Step 4: Simplify right side
    14,212.70x = 106,188,395.03
  5. Step 5: Solve for x
    x = 106,188,395.03/14,212.70
  6. Step 6: Final answer
    x = 7,471.38

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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.