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Finding the Fourth Proportional to 6,897.25, 9,515.25 and 5,399.16

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Solution

The fourth proportional to 6,897.25, 9,515.25 and 5,399.16 is: 7,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.25 : 9,515.25 = 5,399.16 : x
  2. Step 2: Convert to fraction form
    6,897.25/9,515.25 = 5,399.16/x
  3. Step 3: Cross multiply
    6,897.25x = 9,515.25 × 5,399.16
  4. Step 4: Simplify right side
    6,897.25x = 51,374,357.19
  5. Step 5: Solve for x
    x = 51,374,357.19/6,897.25
  6. Step 6: Final answer
    x = 7,448.53

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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.