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Finding the Fourth Proportional to 6,899.28, 9,517.94 and 5,303.08

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Solution

The fourth proportional to 6,899.28, 9,517.94 and 5,303.08 is: 7,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.28 : 9,517.94 = 5,303.08 : x
  2. Step 2: Convert to fraction form
    6,899.28/9,517.94 = 5,303.08/x
  3. Step 3: Cross multiply
    6,899.28x = 9,517.94 × 5,303.08
  4. Step 4: Simplify right side
    6,899.28x = 50,474,397.26
  5. Step 5: Solve for x
    x = 50,474,397.26/6,899.28
  6. Step 6: Final answer
    x = 7,315.89

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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.