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Finding the Fourth Proportional to 7,618.56, 11,419.68 and 4,977.78

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Solution

The fourth proportional to 7,618.56, 11,419.68 and 4,977.78 is: 7,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.56 : 11,419.68 = 4,977.78 : x
  2. Step 2: Convert to fraction form
    7,618.56/11,419.68 = 4,977.78/x
  3. Step 3: Cross multiply
    7,618.56x = 11,419.68 × 4,977.78
  4. Step 4: Simplify right side
    7,618.56x = 56,844,654.71
  5. Step 5: Solve for x
    x = 56,844,654.71/7,618.56
  6. Step 6: Final answer
    x = 7,461.34

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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.