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Finding the Fourth Proportional to 6,858.76, 9,465.06 and 3,715

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Solution

The fourth proportional to 6,858.76, 9,465.06 and 3,715 is: 5,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.76 : 9,465.06 = 3,715 : x
  2. Step 2: Convert to fraction form
    6,858.76/9,465.06 = 3,715/x
  3. Step 3: Cross multiply
    6,858.76x = 9,465.06 × 3,715
  4. Step 4: Simplify right side
    6,858.76x = 35,162,697.90
  5. Step 5: Solve for x
    x = 35,162,697.90/6,858.76
  6. Step 6: Final answer
    x = 5,126.68

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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.