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Finding the Fourth Proportional to 6,806.16, 9,385.38 and 5,387.58

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Solution

The fourth proportional to 6,806.16, 9,385.38 and 5,387.58 is: 7,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.16 : 9,385.38 = 5,387.58 : x
  2. Step 2: Convert to fraction form
    6,806.16/9,385.38 = 5,387.58/x
  3. Step 3: Cross multiply
    6,806.16x = 9,385.38 × 5,387.58
  4. Step 4: Simplify right side
    6,806.16x = 50,564,485.58
  5. Step 5: Solve for x
    x = 50,564,485.58/6,806.16
  6. Step 6: Final answer
    x = 7,429.22

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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.