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Finding the Fourth Proportional to 6,886.26, 9,507.62 and 5,290.07

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Solution

The fourth proportional to 6,886.26, 9,507.62 and 5,290.07 is: 7,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.26 : 9,507.62 = 5,290.07 : x
  2. Step 2: Convert to fraction form
    6,886.26/9,507.62 = 5,290.07/x
  3. Step 3: Cross multiply
    6,886.26x = 9,507.62 × 5,290.07
  4. Step 4: Simplify right side
    6,886.26x = 50,295,901.34
  5. Step 5: Solve for x
    x = 50,295,901.34/6,886.26
  6. Step 6: Final answer
    x = 7,303.81

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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.