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Finding the Fourth Proportional to 7,863.76, 10,867.53 and 6,445.18

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Solution

The fourth proportional to 7,863.76, 10,867.53 and 6,445.18 is: 8,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.76 : 10,867.53 = 6,445.18 : x
  2. Step 2: Convert to fraction form
    7,863.76/10,867.53 = 6,445.18/x
  3. Step 3: Cross multiply
    7,863.76x = 10,867.53 × 6,445.18
  4. Step 4: Simplify right side
    7,863.76x = 70,043,187.01
  5. Step 5: Solve for x
    x = 70,043,187.01/7,863.76
  6. Step 6: Final answer
    x = 8,907.09

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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.