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Finding the Fourth Proportional to 7,986.30, 10,941.28 and 7,687.02

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Solution

The fourth proportional to 7,986.30, 10,941.28 and 7,687.02 is: 10,531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.30 : 10,941.28 = 7,687.02 : x
  2. Step 2: Convert to fraction form
    7,986.30/10,941.28 = 7,687.02/x
  3. Step 3: Cross multiply
    7,986.30x = 10,941.28 × 7,687.02
  4. Step 4: Simplify right side
    7,986.30x = 84,105,838.19
  5. Step 5: Solve for x
    x = 84,105,838.19/7,986.30
  6. Step 6: Final answer
    x = 10,531.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.