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Finding the Fourth Proportional to 8,220.60, 11,538 and 8,220.60

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Solution

The fourth proportional to 8,220.60, 11,538 and 8,220.60 is: 11,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.60 : 11,538 = 8,220.60 : x
  2. Step 2: Convert to fraction form
    8,220.60/11,538 = 8,220.60/x
  3. Step 3: Cross multiply
    8,220.60x = 11,538 × 8,220.60
  4. Step 4: Simplify right side
    8,220.60x = 94,849,282.80
  5. Step 5: Solve for x
    x = 94,849,282.80/8,220.60
  6. Step 6: Final answer
    x = 11,538

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.