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Finding the Fourth Proportional to 13,478.22, 20,220.99 and 7,638.93

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Solution

The fourth proportional to 13,478.22, 20,220.99 and 7,638.93 is: 11,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.22 : 20,220.99 = 7,638.93 : x
  2. Step 2: Convert to fraction form
    13,478.22/20,220.99 = 7,638.93/x
  3. Step 3: Cross multiply
    13,478.22x = 20,220.99 × 7,638.93
  4. Step 4: Simplify right side
    13,478.22x = 154,466,727.14
  5. Step 5: Solve for x
    x = 154,466,727.14/13,478.22
  6. Step 6: Final answer
    x = 11,460.47

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Half scale
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Double scale
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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.