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Finding the Fourth Proportional to 7,871.51, 10,814.07 and 7,043.18

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Solution

The fourth proportional to 7,871.51, 10,814.07 and 7,043.18 is: 9,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.51 : 10,814.07 = 7,043.18 : x
  2. Step 2: Convert to fraction form
    7,871.51/10,814.07 = 7,043.18/x
  3. Step 3: Cross multiply
    7,871.51x = 10,814.07 × 7,043.18
  4. Step 4: Simplify right side
    7,871.51x = 76,165,441.54
  5. Step 5: Solve for x
    x = 76,165,441.54/7,871.51
  6. Step 6: Final answer
    x = 9,676.09

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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.