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Finding the Fourth Proportional to 6,788.16, 9,371.16 and 4,688.64

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Solution

The fourth proportional to 6,788.16, 9,371.16 and 4,688.64 is: 6,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.16 : 9,371.16 = 4,688.64 : x
  2. Step 2: Convert to fraction form
    6,788.16/9,371.16 = 4,688.64/x
  3. Step 3: Cross multiply
    6,788.16x = 9,371.16 × 4,688.64
  4. Step 4: Simplify right side
    6,788.16x = 43,937,995.62
  5. Step 5: Solve for x
    x = 43,937,995.62/6,788.16
  6. Step 6: Final answer
    x = 6,472.74

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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.