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Finding the Fourth Proportional to 14,145.70, 21,206.40 and 7,220.20

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Solution

The fourth proportional to 14,145.70, 21,206.40 and 7,220.20 is: 10,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.70 : 21,206.40 = 7,220.20 : x
  2. Step 2: Convert to fraction form
    14,145.70/21,206.40 = 7,220.20/x
  3. Step 3: Cross multiply
    14,145.70x = 21,206.40 × 7,220.20
  4. Step 4: Simplify right side
    14,145.70x = 153,114,449.28
  5. Step 5: Solve for x
    x = 153,114,449.28/14,145.70
  6. Step 6: Final answer
    x = 10,824.10

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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.