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Finding the Fourth Proportional to 7,780.20, 11,648.70 and 7,564.20

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Solution

The fourth proportional to 7,780.20, 11,648.70 and 7,564.20 is: 11,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.20 : 11,648.70 = 7,564.20 : x
  2. Step 2: Convert to fraction form
    7,780.20/11,648.70 = 7,564.20/x
  3. Step 3: Cross multiply
    7,780.20x = 11,648.70 × 7,564.20
  4. Step 4: Simplify right side
    7,780.20x = 88,113,096.54
  5. Step 5: Solve for x
    x = 88,113,096.54/7,780.20
  6. Step 6: Final answer
    x = 11,325.30

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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.