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Finding the Fourth Proportional to 7,865.08, 10,841.94 and 6,465.40

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Solution

The fourth proportional to 7,865.08, 10,841.94 and 6,465.40 is: 8,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.08 : 10,841.94 = 6,465.40 : x
  2. Step 2: Convert to fraction form
    7,865.08/10,841.94 = 6,465.40/x
  3. Step 3: Cross multiply
    7,865.08x = 10,841.94 × 6,465.40
  4. Step 4: Simplify right side
    7,865.08x = 70,097,478.88
  5. Step 5: Solve for x
    x = 70,097,478.88/7,865.08
  6. Step 6: Final answer
    x = 8,912.49

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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.