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Finding the Fourth Proportional to 14,012.50, 21,022.08 and 4,778.50

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Solution

The fourth proportional to 14,012.50, 21,022.08 and 4,778.50 is: 7,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.50 : 21,022.08 = 4,778.50 : x
  2. Step 2: Convert to fraction form
    14,012.50/21,022.08 = 4,778.50/x
  3. Step 3: Cross multiply
    14,012.50x = 21,022.08 × 4,778.50
  4. Step 4: Simplify right side
    14,012.50x = 100,454,009.28
  5. Step 5: Solve for x
    x = 100,454,009.28/14,012.50
  6. Step 6: Final answer
    x = 7,168.89

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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.