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Finding the Fourth Proportional to 9,703.38, 13,390.66 and 5,287.38

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Solution

The fourth proportional to 9,703.38, 13,390.66 and 5,287.38 is: 7,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.38 : 13,390.66 = 5,287.38 : x
  2. Step 2: Convert to fraction form
    9,703.38/13,390.66 = 5,287.38/x
  3. Step 3: Cross multiply
    9,703.38x = 13,390.66 × 5,287.38
  4. Step 4: Simplify right side
    9,703.38x = 70,801,507.87
  5. Step 5: Solve for x
    x = 70,801,507.87/9,703.38
  6. Step 6: Final answer
    x = 7,296.58

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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.