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Finding the Fourth Proportional to 7,775.86, 10,730.72 and 4,419.79

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Solution

The fourth proportional to 7,775.86, 10,730.72 and 4,419.79 is: 6,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.86 : 10,730.72 = 4,419.79 : x
  2. Step 2: Convert to fraction form
    7,775.86/10,730.72 = 4,419.79/x
  3. Step 3: Cross multiply
    7,775.86x = 10,730.72 × 4,419.79
  4. Step 4: Simplify right side
    7,775.86x = 47,427,528.95
  5. Step 5: Solve for x
    x = 47,427,528.95/7,775.86
  6. Step 6: Final answer
    x = 6,099.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.