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Finding the Fourth Proportional to 6,887.26, 9,509 and 5,291.07

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Solution

The fourth proportional to 6,887.26, 9,509 and 5,291.07 is: 7,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.26 : 9,509 = 5,291.07 : x
  2. Step 2: Convert to fraction form
    6,887.26/9,509 = 5,291.07/x
  3. Step 3: Cross multiply
    6,887.26x = 9,509 × 5,291.07
  4. Step 4: Simplify right side
    6,887.26x = 50,312,784.63
  5. Step 5: Solve for x
    x = 50,312,784.63/6,887.26
  6. Step 6: Final answer
    x = 7,305.20

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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.