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Finding the Fourth Proportional to 6,400.92, 8,815.62 and 5,516.40

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Solution

The fourth proportional to 6,400.92, 8,815.62 and 5,516.40 is: 7,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.92 : 8,815.62 = 5,516.40 : x
  2. Step 2: Convert to fraction form
    6,400.92/8,815.62 = 5,516.40/x
  3. Step 3: Cross multiply
    6,400.92x = 8,815.62 × 5,516.40
  4. Step 4: Simplify right side
    6,400.92x = 48,630,486.17
  5. Step 5: Solve for x
    x = 48,630,486.17/6,400.92
  6. Step 6: Final answer
    x = 7,597.42

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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.