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Finding the Fourth Proportional to 6,466.92, 8,906.64 and 5,582.40

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Solution

The fourth proportional to 6,466.92, 8,906.64 and 5,582.40 is: 7,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.92 : 8,906.64 = 5,582.40 : x
  2. Step 2: Convert to fraction form
    6,466.92/8,906.64 = 5,582.40/x
  3. Step 3: Cross multiply
    6,466.92x = 8,906.64 × 5,582.40
  4. Step 4: Simplify right side
    6,466.92x = 49,720,427.14
  5. Step 5: Solve for x
    x = 49,720,427.14/6,466.92
  6. Step 6: Final answer
    x = 7,688.42

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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.